How to Find GCF of 13/68, 317/10, 771/620?

GCF of 13/68, 317/10, 771/620

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 13/68, 317/10, 771/620 i.e 1/10540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/68, 317/10, 771/620.

Enter two or more fractions separated by "commas"

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

What is the GCF of 13/68,317/10,771/620?

Given fractions are 13/68,317/10,771/620

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 13/68,317/10,771/620, numerators are 13,317,771

Denominators are 68,10,620

The GCF of 13,317,771 is 1 .

LCM of 68,10,620 is 10540.

The greatest common factor of 13/68,317/10,771/620 = [GCF of 13,317,771]/[LCM of 68,10,620]= 1/10540

Therefore, the GCF of 13/68,317/10,771/620 is 1/10540.

Greatest Common Factor of 13,317,771

To find the highest common factor of 13,317,771, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 317 are 1, 317

The factors of 771 are 1, 3, 257, 771

The HCF of 13,317,771 is 1.

Lets's calculate GCF of 13,317,771

Greatest Common Factor (GCF) of 13,317,771 By Common Division

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

Greatest Common Factor of 13,317,771 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 317

1,317

Now, list down the factors of 771

1,3,257,771

Greatest Common Factor

We found the factors 13,317,771 . The biggest common factor number is the GCF number.
So the greatest common factor 13,317,771 is 1.

Lets's calculate LCM of 68,10,620

Lowest Common Multiple of 68,10,620 using Common Division

2	68, 10, 620
2	34, 5, 310
5	17, 5, 155
	17, 1, 31

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 1 x 31 = 10540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10540

Therefore, the GCF of Fractions 13/68,317/10,771/620 is 1/10540

Least Common Multiple of 68,10,620 with GCF Formula

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

We need to calculate greatest common factor of 68,10,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,10,620) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(68,10,620) x common factors =2 x 20 = 40

LCM(68,10,620) = ( 68 × 10 × 620 ) / 40

LCM(68,10,620) = 421600 / 40

LCM(68,10,620) = 10540

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FAQs on GCF of Fractions of 13/68, 317/10, 771/620

1. What is the HCF of 13,317,771?

The HCF of 13,317,771 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 13/68, 317/10, 771/620?

Answer: GCF of Numerators as per given numbers 13/68, 317/10, 771/620 is

GCF of Numerators i.e. for 13,317,771 is 1

LCM of denominators i.e. for 68,10,620 is 10540.

Thus, GCF of Fractions is 1/10540.Finally, GCF of Fractions for 13/68, 317/10, 771/620 is 1/10540.