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 929/562, 1751/208

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 929/562, 1751/208 i.e 1/58448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 929/562, 1751/208.

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 929/562,1751/208?

Given fractions are 929/562,1751/208

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 929/562,1751/208, numerators are 929,1751

Denominators are 562,208

The GCF of 929,1751 is 1 .

LCM of 562,208 is 58448.

The greatest common factor of 929/562,1751/208 = [GCF of 929,1751]/[LCM of 562,208]= 1/58448

Therefore, the GCF of 929/562,1751/208 is 1/58448.

Greatest Common Factor of 929,1751

To find the highest common factor of 929,1751, we have to find the factors of both numbers and list the highest common factor.

The factors of 929 are 1, 929

The factors of 1751 are 1, 17, 103, 1751

The HCF of 929,1751 is 1.

Lets's calculate GCF of 929,1751

Greatest Common Factor (GCF) of 929,1751 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 929,1751 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,1751 By Matching Biggest Common Factor Method

Now, list down the factors of 929

:

1,929

Now, list down the factors of 1751

:

1,17,103,1751

Greatest Common Factor

We found the factors 929,1751 . The biggest common factor number is the GCF number.
So the greatest common factor 929,1751 is 1.

Lets's calculate LCM of 562,208

Lowest Common Multiple of 562,208 using Common Division

2 562, 208
281, 104

∴ So the LCM of the given numbers is 2 x 281 x 104 = 58448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58448

Therefore, the GCF of Fractions 929/562,1751/208 is 1/58448

Least Common Multiple of 562,208 with GCF Formula

Least Common Multiple of 562,208 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 562,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,208) = 2

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

GCF(562,208) x common factors =2 x 1 = 2

LCM(562,208) = ( 562 × 208 ) / 2

LCM(562,208) = 116896 / 2

LCM(562,208) = 58448


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 929/562, 1751/208

1. What is the HCF of 929,1751?

The HCF of 929,1751 is 1

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 929/562, 1751/208?

Answer: GCF of Numerators as per given numbers 929/562, 1751/208 is

GCF of Numerators i.e. for 929,1751 is 1

LCM of denominators i.e. for 562,208 is 58448.

Thus, GCF of Fractions is 1/58448.Finally, GCF of Fractions for 929/562, 1751/208 is 1/58448.