How to Find GCF of 826/304, 156/996?

GCF of 826/304, 156/996

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 826/304, 156/996 i.e 2/75696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 826/304, 156/996.

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 826/304,156/996?

Given fractions are 826/304,156/996

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 826/304,156/996, numerators are 826,156

Denominators are 304,996

The GCF of 826,156 is 2 .

LCM of 304,996 is 75696.

The greatest common factor of 826/304,156/996 = [GCF of 826,156]/[LCM of 304,996]= 2/75696

Therefore, the GCF of 826/304,156/996 is 2/75696.

Greatest Common Factor of 826,156

To find the highest common factor of 826,156, we have to find the factors of both numbers and list the highest common factor.

The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

The HCF of 826,156 is 2.

Lets's calculate GCF of 826,156

Greatest Common Factor (GCF) of 826,156 By Common Division

2	826, 156
	413, 78

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

Greatest Common Factor of 826,156 By Matching Biggest Common Factor Method

Now, list down the factors of 826

1,2,7,14,59,118,413,826

Now, list down the factors of 156

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 826,156 . The biggest common factor number is the GCF number.
So the greatest common factor 826,156 is 2.

Lets's calculate LCM of 304,996

Lowest Common Multiple of 304,996 using Common Division

2	304, 996
2	152, 498
	76, 249

∴ So the LCM of the given numbers is 2 x 2 x 76 x 249 = 75696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75696

Therefore, the GCF of Fractions 826/304,156/996 is 2/75696

Least Common Multiple of 304,996 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 304,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,996) = 4

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

GCF(304,996) x common factors =4 x 1 = 4

LCM(304,996) = ( 304 × 996 ) / 4

LCM(304,996) = 302784 / 4

LCM(304,996) = 75696

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 826/304, 156/996

1. What is the HCF of 826,156?

The HCF of 826,156 is 2

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 826/304, 156/996?

Answer: GCF of Numerators as per given numbers 826/304, 156/996 is

GCF of Numerators i.e. for 826,156 is 2

LCM of denominators i.e. for 304,996 is 75696.

Thus, GCF of Fractions is 2/75696.Finally, GCF of Fractions for 826/304, 156/996 is 2/75696.