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GCF of 266/931, 620/561

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 266/931, 620/561 i.e 2/522291 easily. The following is the detailed procedure to determine the greatest common factor of fractions 266/931, 620/561.

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 266/931,620/561?

Given fractions are 266/931,620/561

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 266/931,620/561, numerators are 266,620

Denominators are 931,561

The GCF of 266,620 is 2 .

LCM of 931,561 is 522291.

The greatest common factor of 266/931,620/561 = [GCF of 266,620]/[LCM of 931,561]= 2/522291

Therefore, the GCF of 266/931,620/561 is 2/522291.

Greatest Common Factor of 266,620

To find the highest common factor of 266,620, 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 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

The HCF of 266,620 is 2.

Lets's calculate GCF of 266,620

Greatest Common Factor (GCF) of 266,620 By Common Division

2 266, 620
133, 310

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 266,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,620 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 620

:

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 266,620 . The biggest common factor number is the GCF number.
So the greatest common factor 266,620 is 2.

Lets's calculate LCM of 931,561

Lowest Common Multiple of 931,561 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 522291

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/522291

Therefore, the GCF of Fractions 266/931,620/561 is 2/522291

Least Common Multiple of 931,561 with GCF Formula

Least Common Multiple of 931,561 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 931,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,561) = 1

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

GCF(931,561) x common factors =1 x 1 = 1

LCM(931,561) = ( 931 × 561 ) / 1

LCM(931,561) = 522291 / 1

LCM(931,561) = 522291


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FAQs on GCF of Fractions of 266/931, 620/561

1. What is the HCF of 266,620?

The HCF of 266,620 is 2

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 266/931, 620/561?

Answer: GCF of Numerators as per given numbers 266/931, 620/561 is

GCF of Numerators i.e. for 266,620 is 2

LCM of denominators i.e. for 931,561 is 522291.

Thus, GCF of Fractions is 2/522291.Finally, GCF of Fractions for 266/931, 620/561 is 2/522291.