How to Find GCF of 9767/552, 5968/9752?

GCF of 9767/552, 5968/9752

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 9767/552, 5968/9752 i.e 1/29256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9767/552, 5968/9752.

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 9767/552,5968/9752?

Given fractions are 9767/552,5968/9752

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 9767/552,5968/9752, numerators are 9767,5968

Denominators are 552,9752

The GCF of 9767,5968 is 1 .

LCM of 552,9752 is 29256.

The greatest common factor of 9767/552,5968/9752 = [GCF of 9767,5968]/[LCM of 552,9752]= 1/29256

Therefore, the GCF of 9767/552,5968/9752 is 1/29256.

Greatest Common Factor of 9767,5968

To find the highest common factor of 9767,5968, we have to find the factors of both numbers and list the highest common factor.

The factors of 9767 are 1, 9767

The factors of 5968 are 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968

The HCF of 9767,5968 is 1.

Lets's calculate GCF of 9767,5968

Greatest Common Factor (GCF) of 9767,5968 By Common Division

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

Greatest Common Factor of 9767,5968 By Matching Biggest Common Factor Method

Now, list down the factors of 9767

1,9767

Now, list down the factors of 5968

1,2,4,8,16,373,746,1492,2984,5968

Greatest Common Factor

We found the factors 9767,5968 . The biggest common factor number is the GCF number.
So the greatest common factor 9767,5968 is 1.

Lets's calculate LCM of 552,9752

Lowest Common Multiple of 552,9752 using Common Division

2	552, 9752
2	276, 4876
2	138, 2438
23	69, 1219
	3, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 3 x 53 = 29256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29256

Therefore, the GCF of Fractions 9767/552,5968/9752 is 1/29256

Least Common Multiple of 552,9752 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 552,9752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,9752) = 184

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

GCF(552,9752) x common factors =184 x 1 = 184

LCM(552,9752) = ( 552 × 9752 ) / 184

LCM(552,9752) = 5383104 / 184

LCM(552,9752) = 29256

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FAQs on GCF of Fractions of 9767/552, 5968/9752

1. What is the HCF of 9767,5968?

The HCF of 9767,5968 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 9767/552, 5968/9752?

Answer: GCF of Numerators as per given numbers 9767/552, 5968/9752 is

GCF of Numerators i.e. for 9767,5968 is 1

LCM of denominators i.e. for 552,9752 is 29256.

Thus, GCF of Fractions is 1/29256.Finally, GCF of Fractions for 9767/552, 5968/9752 is 1/29256.