LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 266/521, 1748/130

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 266/521, 1748/130 i.e 38/67730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 266/521, 1748/130.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 266/521,1748/130?

Given fractions are 266/521,1748/130

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 266/521,1748/130, numerators are 266,1748

Denominators are 521,130

The GCF of 266,1748 is 38 .

LCM of 521,130 is 67730.

The greatest common factor of 266/521,1748/130 = [GCF of 266,1748]/[LCM of 521,130]= 38/67730

Therefore, the GCF of 266/521,1748/130 is 38/67730.

Greatest Common Factor of 266,1748

To find the highest common factor of 266,1748, we have to find the factors of both numbers and list the highest common factor.

The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266

The factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748

The HCF of 266,1748 is 38.

Lets's calculate GCF of 266,1748

Greatest Common Factor (GCF) of 266,1748 By Common Division

2 266, 1748
19 133, 874
7, 46

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 266,1748 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,1748 By Matching Biggest Common Factor Method

Now, list down the factors of 266

:

1,2,7,14,19,38,133,266

Now, list down the factors of 1748

:

1,2,4,19,23,38,46,76,92,437,874,1748

Greatest Common Factor

We found the factors 266,1748 . The biggest common factor number is the GCF number.
So the greatest common factor 266,1748 is 38.


Lets's calculate LCM of 521,130

Lowest Common Multiple of 521,130 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 67730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/67730

Therefore, the GCF of Fractions 266/521,1748/130 is 38/67730

Least Common Multiple of 521,130 with GCF Formula

Least Common Multiple of 521,130 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 521,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,130) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(521,130) x common factors =1 x 1 = 1

LCM(521,130) = ( 521 × 130 ) / 1

LCM(521,130) = 67730 / 1

LCM(521,130) = 67730


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 266/521, 1748/130

1. What is the HCF of 266,1748?

The HCF of 266,1748 is 38

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 266/521, 1748/130?

Answer: GCF of Numerators as per given numbers 266/521, 1748/130 is

GCF of Numerators i.e. for 266,1748 is 38

LCM of denominators i.e. for 521,130 is 67730.

Thus, GCF of Fractions is 38/67730.Finally, GCF of Fractions for 266/521, 1748/130 is 38/67730.