How to Find GCF of 8773/688, 1912/7740?

GCF of 8773/688, 1912/7740

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 8773/688, 1912/7740 i.e 1/30960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8773/688, 1912/7740.

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 8773/688,1912/7740?

Given fractions are 8773/688,1912/7740

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 8773/688,1912/7740, numerators are 8773,1912

Denominators are 688,7740

The GCF of 8773,1912 is 1 .

LCM of 688,7740 is 30960.

The greatest common factor of 8773/688,1912/7740 = [GCF of 8773,1912]/[LCM of 688,7740]= 1/30960

Therefore, the GCF of 8773/688,1912/7740 is 1/30960.

Greatest Common Factor of 8773,1912

To find the highest common factor of 8773,1912, we have to find the factors of both numbers and list the highest common factor.

The factors of 8773 are 1, 31, 283, 8773

The factors of 1912 are 1, 2, 4, 8, 239, 478, 956, 1912

The HCF of 8773,1912 is 1.

Lets's calculate GCF of 8773,1912

Greatest Common Factor (GCF) of 8773,1912 By Common Division

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

Greatest Common Factor of 8773,1912 By Matching Biggest Common Factor Method

Now, list down the factors of 8773

1,31,283,8773

Now, list down the factors of 1912

1,2,4,8,239,478,956,1912

Greatest Common Factor

We found the factors 8773,1912 . The biggest common factor number is the GCF number.
So the greatest common factor 8773,1912 is 1.

Lets's calculate LCM of 688,7740

Lowest Common Multiple of 688,7740 using Common Division

2	688, 7740
2	344, 3870
43	172, 1935
	4, 45

∴ So the LCM of the given numbers is 2 x 2 x 43 x 4 x 45 = 30960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30960

Therefore, the GCF of Fractions 8773/688,1912/7740 is 1/30960

Least Common Multiple of 688,7740 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 688,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,7740) = 172

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

GCF(688,7740) x common factors =172 x 1 = 172

LCM(688,7740) = ( 688 × 7740 ) / 172

LCM(688,7740) = 5325120 / 172

LCM(688,7740) = 30960

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FAQs on GCF of Fractions of 8773/688, 1912/7740

1. What is the HCF of 8773,1912?

The HCF of 8773,1912 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 8773/688, 1912/7740?

Answer: GCF of Numerators as per given numbers 8773/688, 1912/7740 is

GCF of Numerators i.e. for 8773,1912 is 1

LCM of denominators i.e. for 688,7740 is 30960.

Thus, GCF of Fractions is 1/30960.Finally, GCF of Fractions for 8773/688, 1912/7740 is 1/30960.