How to Find GCF of 4826/399, 2909/7967?

GCF of 4826/399, 2909/7967

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 4826/399, 2909/7967 i.e 1/3178833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4826/399, 2909/7967.

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 4826/399,2909/7967?

Given fractions are 4826/399,2909/7967

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 4826/399,2909/7967, numerators are 4826,2909

Denominators are 399,7967

The GCF of 4826,2909 is 1 .

LCM of 399,7967 is 3178833.

The greatest common factor of 4826/399,2909/7967 = [GCF of 4826,2909]/[LCM of 399,7967]= 1/3178833

Therefore, the GCF of 4826/399,2909/7967 is 1/3178833.

Greatest Common Factor of 4826,2909

To find the highest common factor of 4826,2909, we have to find the factors of both numbers and list the highest common factor.

The factors of 4826 are 1, 2, 19, 38, 127, 254, 2413, 4826

The factors of 2909 are 1, 2909

The HCF of 4826,2909 is 1.

Lets's calculate GCF of 4826,2909

Greatest Common Factor (GCF) of 4826,2909 By Common Division

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

Greatest Common Factor of 4826,2909 By Matching Biggest Common Factor Method

Now, list down the factors of 4826

1,2,19,38,127,254,2413,4826

Now, list down the factors of 2909

1,2909

Greatest Common Factor

We found the factors 4826,2909 . The biggest common factor number is the GCF number.
So the greatest common factor 4826,2909 is 1.

Lets's calculate LCM of 399,7967

Lowest Common Multiple of 399,7967 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3178833

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3178833

Therefore, the GCF of Fractions 4826/399,2909/7967 is 1/3178833

Least Common Multiple of 399,7967 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 399,7967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,7967) = 1

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

GCF(399,7967) x common factors =1 x 1 = 1

LCM(399,7967) = ( 399 × 7967 ) / 1

LCM(399,7967) = 3178833 / 1

LCM(399,7967) = 3178833

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FAQs on GCF of Fractions of 4826/399, 2909/7967

1. What is the HCF of 4826,2909?

The HCF of 4826,2909 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 4826/399, 2909/7967?

Answer: GCF of Numerators as per given numbers 4826/399, 2909/7967 is

GCF of Numerators i.e. for 4826,2909 is 1

LCM of denominators i.e. for 399,7967 is 3178833.

Thus, GCF of Fractions is 1/3178833.Finally, GCF of Fractions for 4826/399, 2909/7967 is 1/3178833.