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GCF of 910/20, 767/3788

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 910/20, 767/3788 i.e 13/18940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/20, 767/3788.

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 910/20,767/3788?

Given fractions are 910/20,767/3788

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 910/20,767/3788, numerators are 910,767

Denominators are 20,3788

The GCF of 910,767 is 13 .

LCM of 20,3788 is 18940.

The greatest common factor of 910/20,767/3788 = [GCF of 910,767]/[LCM of 20,3788]= 13/18940

Therefore, the GCF of 910/20,767/3788 is 13/18940.

Greatest Common Factor of 910,767

To find the highest common factor of 910,767, we have to find the factors of both numbers and list the highest common factor.

The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

The factors of 767 are 1, 13, 59, 767

The HCF of 910,767 is 13.

Lets's calculate GCF of 910,767

Greatest Common Factor (GCF) of 910,767 By Common Division

13 910, 767
70, 59

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 910,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,767 By Matching Biggest Common Factor Method

Now, list down the factors of 910

:

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Now, list down the factors of 767

:

1,13,59,767

Greatest Common Factor

We found the factors 910,767 . The biggest common factor number is the GCF number.
So the greatest common factor 910,767 is 13.

Lets's calculate LCM of 20,3788

Lowest Common Multiple of 20,3788 using Common Division

2 20, 3788
2 10, 1894
5, 947

∴ So the LCM of the given numbers is 2 x 2 x 5 x 947 = 18940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/18940

Therefore, the GCF of Fractions 910/20,767/3788 is 13/18940

Least Common Multiple of 20,3788 with GCF Formula

Least Common Multiple of 20,3788 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 20,3788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,3788) = 4

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

GCF(20,3788) x common factors =4 x 1 = 4

LCM(20,3788) = ( 20 × 3788 ) / 4

LCM(20,3788) = 75760 / 4

LCM(20,3788) = 18940


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 910/20, 767/3788

1. What is the HCF of 910,767?

The HCF of 910,767 is 13

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 910/20, 767/3788?

Answer: GCF of Numerators as per given numbers 910/20, 767/3788 is

GCF of Numerators i.e. for 910,767 is 13

LCM of denominators i.e. for 20,3788 is 18940.

Thus, GCF of Fractions is 13/18940.Finally, GCF of Fractions for 910/20, 767/3788 is 13/18940.