How to Find GCF of 964/292, 4820/906?

GCF of 964/292, 4820/906

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 964/292, 4820/906 i.e 964/132276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 964/292, 4820/906.

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 964/292,4820/906?

Given fractions are 964/292,4820/906

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 964/292,4820/906, numerators are 964,4820

Denominators are 292,906

The GCF of 964,4820 is 964 .

LCM of 292,906 is 132276.

The greatest common factor of 964/292,4820/906 = [GCF of 964,4820]/[LCM of 292,906]= 964/132276

Therefore, the GCF of 964/292,4820/906 is 964/132276.

Greatest Common Factor of 964,4820

To find the highest common factor of 964,4820, we have to find the factors of both numbers and list the highest common factor.

The factors of 964 are 1, 2, 4, 241, 482, 964

The factors of 4820 are 1, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820

The HCF of 964,4820 is 964.

Lets's calculate GCF of 964,4820

Greatest Common Factor (GCF) of 964,4820 By Common Division

2	964, 4820
2	482, 2410
241	241, 1205
	1, 5

∴ So the GCF of the given numbers is 2 x 2 x 241 = 964

Greatest Common Factor of 964,4820 By Matching Biggest Common Factor Method

Now, list down the factors of 964

1,2,4,241,482,964

Now, list down the factors of 4820

1,2,4,5,10,20,241,482,964,1205,2410,4820

Greatest Common Factor

We found the factors 964,4820 . The biggest common factor number is the GCF number.
So the greatest common factor 964,4820 is 964.

Lets's calculate LCM of 292,906

Lowest Common Multiple of 292,906 using Common Division

2	292, 906
	146, 453

∴ So the LCM of the given numbers is 2 x 146 x 453 = 132276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 964/132276

Therefore, the GCF of Fractions 964/292,4820/906 is 964/132276

Least Common Multiple of 292,906 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 292,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,906) = 2

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

GCF(292,906) x common factors =2 x 1 = 2

LCM(292,906) = ( 292 × 906 ) / 2

LCM(292,906) = 264552 / 2

LCM(292,906) = 132276

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 964/292, 4820/906

1. What is the HCF of 964,4820?

The HCF of 964,4820 is 964

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 964/292, 4820/906?

Answer: GCF of Numerators as per given numbers 964/292, 4820/906 is

GCF of Numerators i.e. for 964,4820 is 964

LCM of denominators i.e. for 292,906 is 132276.

Thus, GCF of Fractions is 964/132276.Finally, GCF of Fractions for 964/292, 4820/906 is 964/132276.