How to Find GCF of 4979/262, 4253/6523?

GCF of 4979/262, 4253/6523

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 4979/262, 4253/6523 i.e 1/1709026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4979/262, 4253/6523.

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 4979/262,4253/6523?

Given fractions are 4979/262,4253/6523

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 4979/262,4253/6523, numerators are 4979,4253

Denominators are 262,6523

The GCF of 4979,4253 is 1 .

LCM of 262,6523 is 1709026.

The greatest common factor of 4979/262,4253/6523 = [GCF of 4979,4253]/[LCM of 262,6523]= 1/1709026

Therefore, the GCF of 4979/262,4253/6523 is 1/1709026.

Greatest Common Factor of 4979,4253

To find the highest common factor of 4979,4253, we have to find the factors of both numbers and list the highest common factor.

The factors of 4979 are 1, 13, 383, 4979

The factors of 4253 are 1, 4253

The HCF of 4979,4253 is 1.

Lets's calculate GCF of 4979,4253

Greatest Common Factor (GCF) of 4979,4253 By Common Division

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

Greatest Common Factor of 4979,4253 By Matching Biggest Common Factor Method

Now, list down the factors of 4979

1,13,383,4979

Now, list down the factors of 4253

1,4253

Greatest Common Factor

We found the factors 4979,4253 . The biggest common factor number is the GCF number.
So the greatest common factor 4979,4253 is 1.

Lets's calculate LCM of 262,6523

Lowest Common Multiple of 262,6523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1709026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1709026

Therefore, the GCF of Fractions 4979/262,4253/6523 is 1/1709026

Least Common Multiple of 262,6523 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 262,6523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,6523) = 1

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

GCF(262,6523) x common factors =1 x 1 = 1

LCM(262,6523) = ( 262 × 6523 ) / 1

LCM(262,6523) = 1709026 / 1

LCM(262,6523) = 1709026

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FAQs on GCF of Fractions of 4979/262, 4253/6523

1. What is the HCF of 4979,4253?

The HCF of 4979,4253 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 4979/262, 4253/6523?

Answer: GCF of Numerators as per given numbers 4979/262, 4253/6523 is

GCF of Numerators i.e. for 4979,4253 is 1

LCM of denominators i.e. for 262,6523 is 1709026.

Thus, GCF of Fractions is 1/1709026.Finally, GCF of Fractions for 4979/262, 4253/6523 is 1/1709026.