How to Find GCF of 702/541, 1027/932?

GCF of 702/541, 1027/932

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 702/541, 1027/932 i.e 13/504212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/541, 1027/932.

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 702/541,1027/932?

Given fractions are 702/541,1027/932

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 702/541,1027/932, numerators are 702,1027

Denominators are 541,932

The GCF of 702,1027 is 13 .

LCM of 541,932 is 504212.

The greatest common factor of 702/541,1027/932 = [GCF of 702,1027]/[LCM of 541,932]= 13/504212

Therefore, the GCF of 702/541,1027/932 is 13/504212.

Greatest Common Factor of 702,1027

To find the highest common factor of 702,1027, we have to find the factors of both numbers and list the highest common factor.

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The factors of 1027 are 1, 13, 79, 1027

The HCF of 702,1027 is 13.

Lets's calculate GCF of 702,1027

Greatest Common Factor (GCF) of 702,1027 By Common Division

13	702, 1027
	54, 79

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 702,1027 By Matching Biggest Common Factor Method

Now, list down the factors of 702

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Now, list down the factors of 1027

1,13,79,1027

Greatest Common Factor

We found the factors 702,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 702,1027 is 13.

Lets's calculate LCM of 541,932

Lowest Common Multiple of 541,932 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 504212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/504212

Therefore, the GCF of Fractions 702/541,1027/932 is 13/504212

Least Common Multiple of 541,932 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 541,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,932) = 1

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

GCF(541,932) x common factors =1 x 1 = 1

LCM(541,932) = ( 541 × 932 ) / 1

LCM(541,932) = 504212 / 1

LCM(541,932) = 504212

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 702/541, 1027/932

1. What is the HCF of 702,1027?

The HCF of 702,1027 is 13

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 702/541, 1027/932?

Answer: GCF of Numerators as per given numbers 702/541, 1027/932 is

GCF of Numerators i.e. for 702,1027 is 13

LCM of denominators i.e. for 541,932 is 504212.

Thus, GCF of Fractions is 13/504212.Finally, GCF of Fractions for 702/541, 1027/932 is 13/504212.