How to Find GCF of 5164/231, 1547/7520?

GCF of 5164/231, 1547/7520

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 5164/231, 1547/7520 i.e 1/1737120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5164/231, 1547/7520.

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 5164/231,1547/7520?

Given fractions are 5164/231,1547/7520

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 5164/231,1547/7520, numerators are 5164,1547

Denominators are 231,7520

The GCF of 5164,1547 is 1 .

LCM of 231,7520 is 1737120.

The greatest common factor of 5164/231,1547/7520 = [GCF of 5164,1547]/[LCM of 231,7520]= 1/1737120

Therefore, the GCF of 5164/231,1547/7520 is 1/1737120.

Greatest Common Factor of 5164,1547

To find the highest common factor of 5164,1547, we have to find the factors of both numbers and list the highest common factor.

The factors of 5164 are 1, 2, 4, 1291, 2582, 5164

The factors of 1547 are 1, 7, 13, 17, 91, 119, 221, 1547

The HCF of 5164,1547 is 1.

Lets's calculate GCF of 5164,1547

Greatest Common Factor (GCF) of 5164,1547 By Common Division

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

Greatest Common Factor of 5164,1547 By Matching Biggest Common Factor Method

Now, list down the factors of 5164

1,2,4,1291,2582,5164

Now, list down the factors of 1547

1,7,13,17,91,119,221,1547

Greatest Common Factor

We found the factors 5164,1547 . The biggest common factor number is the GCF number.
So the greatest common factor 5164,1547 is 1.

Lets's calculate LCM of 231,7520

Lowest Common Multiple of 231,7520 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1737120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1737120

Therefore, the GCF of Fractions 5164/231,1547/7520 is 1/1737120

Least Common Multiple of 231,7520 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 231,7520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,7520) = 1

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

GCF(231,7520) x common factors =1 x 1 = 1

LCM(231,7520) = ( 231 × 7520 ) / 1

LCM(231,7520) = 1737120 / 1

LCM(231,7520) = 1737120

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FAQs on GCF of Fractions of 5164/231, 1547/7520

1. What is the HCF of 5164,1547?

The HCF of 5164,1547 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 5164/231, 1547/7520?

Answer: GCF of Numerators as per given numbers 5164/231, 1547/7520 is

GCF of Numerators i.e. for 5164,1547 is 1

LCM of denominators i.e. for 231,7520 is 1737120.

Thus, GCF of Fractions is 1/1737120.Finally, GCF of Fractions for 5164/231, 1547/7520 is 1/1737120.