How to Find GCF of 532/262, 6627/949?

GCF of 532/262, 6627/949

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 532/262, 6627/949 i.e 1/248638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/262, 6627/949.

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 532/262,6627/949?

Given fractions are 532/262,6627/949

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 532/262,6627/949, numerators are 532,6627

Denominators are 262,949

The GCF of 532,6627 is 1 .

LCM of 262,949 is 248638.

The greatest common factor of 532/262,6627/949 = [GCF of 532,6627]/[LCM of 262,949]= 1/248638

Therefore, the GCF of 532/262,6627/949 is 1/248638.

Greatest Common Factor of 532,6627

To find the highest common factor of 532,6627, we have to find the factors of both numbers and list the highest common factor.

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The factors of 6627 are 1, 3, 47, 141, 2209, 6627

The HCF of 532,6627 is 1.

Lets's calculate GCF of 532,6627

Greatest Common Factor (GCF) of 532,6627 By Common Division

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

Greatest Common Factor of 532,6627 By Matching Biggest Common Factor Method

Now, list down the factors of 532

1,2,4,7,14,19,28,38,76,133,266,532

Now, list down the factors of 6627

1,3,47,141,2209,6627

Greatest Common Factor

We found the factors 532,6627 . The biggest common factor number is the GCF number.
So the greatest common factor 532,6627 is 1.

Lets's calculate LCM of 262,949

Lowest Common Multiple of 262,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 248638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248638

Therefore, the GCF of Fractions 532/262,6627/949 is 1/248638

Least Common Multiple of 262,949 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 262,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,949) = 1

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

GCF(262,949) x common factors =1 x 1 = 1

LCM(262,949) = ( 262 × 949 ) / 1

LCM(262,949) = 248638 / 1

LCM(262,949) = 248638

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 532/262, 6627/949

1. What is the HCF of 532,6627?

The HCF of 532,6627 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 532/262, 6627/949?

Answer: GCF of Numerators as per given numbers 532/262, 6627/949 is

GCF of Numerators i.e. for 532,6627 is 1

LCM of denominators i.e. for 262,949 is 248638.

Thus, GCF of Fractions is 1/248638.Finally, GCF of Fractions for 532/262, 6627/949 is 1/248638.