How to Find GCF of 7649/924, 5420/7183?

GCF of 7649/924, 5420/7183

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 7649/924, 5420/7183 i.e 1/603372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7649/924, 5420/7183.

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 7649/924,5420/7183?

Given fractions are 7649/924,5420/7183

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 7649/924,5420/7183, numerators are 7649,5420

Denominators are 924,7183

The GCF of 7649,5420 is 1 .

LCM of 924,7183 is 603372.

The greatest common factor of 7649/924,5420/7183 = [GCF of 7649,5420]/[LCM of 924,7183]= 1/603372

Therefore, the GCF of 7649/924,5420/7183 is 1/603372.

Greatest Common Factor of 7649,5420

To find the highest common factor of 7649,5420, we have to find the factors of both numbers and list the highest common factor.

The factors of 7649 are 1, 7649

The factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420

The HCF of 7649,5420 is 1.

Lets's calculate GCF of 7649,5420

Greatest Common Factor (GCF) of 7649,5420 By Common Division

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

Greatest Common Factor of 7649,5420 By Matching Biggest Common Factor Method

Now, list down the factors of 7649

1,7649

Now, list down the factors of 5420

1,2,4,5,10,20,271,542,1084,1355,2710,5420

Greatest Common Factor

We found the factors 7649,5420 . The biggest common factor number is the GCF number.
So the greatest common factor 7649,5420 is 1.

Lets's calculate LCM of 924,7183

Lowest Common Multiple of 924,7183 using Common Division

11	924, 7183
	84, 653

∴ So the LCM of the given numbers is 11 x 84 x 653 = 603372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/603372

Therefore, the GCF of Fractions 7649/924,5420/7183 is 1/603372

Least Common Multiple of 924,7183 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 924,7183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,7183) = 11

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

GCF(924,7183) x common factors =11 x 1 = 11

LCM(924,7183) = ( 924 × 7183 ) / 11

LCM(924,7183) = 6637092 / 11

LCM(924,7183) = 603372

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FAQs on GCF of Fractions of 7649/924, 5420/7183

1. What is the HCF of 7649,5420?

The HCF of 7649,5420 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 7649/924, 5420/7183?

Answer: GCF of Numerators as per given numbers 7649/924, 5420/7183 is

GCF of Numerators i.e. for 7649,5420 is 1

LCM of denominators i.e. for 924,7183 is 603372.

Thus, GCF of Fractions is 1/603372.Finally, GCF of Fractions for 7649/924, 5420/7183 is 1/603372.