How to Find GCF of 9776/335, 8132/704?

GCF of 9776/335, 8132/704

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 9776/335, 8132/704 i.e 4/235840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9776/335, 8132/704.

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 9776/335,8132/704?

Given fractions are 9776/335,8132/704

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 9776/335,8132/704, numerators are 9776,8132

Denominators are 335,704

The GCF of 9776,8132 is 4 .

LCM of 335,704 is 235840.

The greatest common factor of 9776/335,8132/704 = [GCF of 9776,8132]/[LCM of 335,704]= 4/235840

Therefore, the GCF of 9776/335,8132/704 is 4/235840.

Greatest Common Factor of 9776,8132

To find the highest common factor of 9776,8132, we have to find the factors of both numbers and list the highest common factor.

The factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776

The factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132

The HCF of 9776,8132 is 4.

Lets's calculate GCF of 9776,8132

Greatest Common Factor (GCF) of 9776,8132 By Common Division

2	9776, 8132
2	4888, 4066
	2444, 2033

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9776,8132 By Matching Biggest Common Factor Method

Now, list down the factors of 9776

1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776

Now, list down the factors of 8132

1,2,4,19,38,76,107,214,428,2033,4066,8132

Greatest Common Factor

We found the factors 9776,8132 . The biggest common factor number is the GCF number.
So the greatest common factor 9776,8132 is 4.

Lets's calculate LCM of 335,704

Lowest Common Multiple of 335,704 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 235840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/235840

Therefore, the GCF of Fractions 9776/335,8132/704 is 4/235840

Least Common Multiple of 335,704 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 335,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,704) = 1

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

GCF(335,704) x common factors =1 x 1 = 1

LCM(335,704) = ( 335 × 704 ) / 1

LCM(335,704) = 235840 / 1

LCM(335,704) = 235840

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FAQs on GCF of Fractions of 9776/335, 8132/704

1. What is the HCF of 9776,8132?

The HCF of 9776,8132 is 4

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 9776/335, 8132/704?

Answer: GCF of Numerators as per given numbers 9776/335, 8132/704 is

GCF of Numerators i.e. for 9776,8132 is 4

LCM of denominators i.e. for 335,704 is 235840.

Thus, GCF of Fractions is 4/235840.Finally, GCF of Fractions for 9776/335, 8132/704 is 4/235840.