How to Find GCF of 4967/964, 9326/725?

GCF of 4967/964, 9326/725

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 4967/964, 9326/725 i.e 1/698900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4967/964, 9326/725.

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 4967/964,9326/725?

Given fractions are 4967/964,9326/725

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 4967/964,9326/725, numerators are 4967,9326

Denominators are 964,725

The GCF of 4967,9326 is 1 .

LCM of 964,725 is 698900.

The greatest common factor of 4967/964,9326/725 = [GCF of 4967,9326]/[LCM of 964,725]= 1/698900

Therefore, the GCF of 4967/964,9326/725 is 1/698900.

Greatest Common Factor of 4967,9326

To find the highest common factor of 4967,9326, we have to find the factors of both numbers and list the highest common factor.

The factors of 4967 are 1, 4967

The factors of 9326 are 1, 2, 4663, 9326

The HCF of 4967,9326 is 1.

Lets's calculate GCF of 4967,9326

Greatest Common Factor (GCF) of 4967,9326 By Common Division

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

Greatest Common Factor of 4967,9326 By Matching Biggest Common Factor Method

Now, list down the factors of 4967

1,4967

Now, list down the factors of 9326

1,2,4663,9326

Greatest Common Factor

We found the factors 4967,9326 . The biggest common factor number is the GCF number.
So the greatest common factor 4967,9326 is 1.

Lets's calculate LCM of 964,725

Lowest Common Multiple of 964,725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 698900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698900

Therefore, the GCF of Fractions 4967/964,9326/725 is 1/698900

Least Common Multiple of 964,725 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 964,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,725) = 1

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

GCF(964,725) x common factors =1 x 1 = 1

LCM(964,725) = ( 964 × 725 ) / 1

LCM(964,725) = 698900 / 1

LCM(964,725) = 698900

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FAQs on GCF of Fractions of 4967/964, 9326/725

1. What is the HCF of 4967,9326?

The HCF of 4967,9326 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 4967/964, 9326/725?

Answer: GCF of Numerators as per given numbers 4967/964, 9326/725 is

GCF of Numerators i.e. for 4967,9326 is 1

LCM of denominators i.e. for 964,725 is 698900.

Thus, GCF of Fractions is 1/698900.Finally, GCF of Fractions for 4967/964, 9326/725 is 1/698900.