How to Find GCF of 815/470, 7252/540?

GCF of 815/470, 7252/540

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 815/470, 7252/540 i.e 1/25380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/470, 7252/540.

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 815/470,7252/540?

Given fractions are 815/470,7252/540

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 815/470,7252/540, numerators are 815,7252

Denominators are 470,540

The GCF of 815,7252 is 1 .

LCM of 470,540 is 25380.

The greatest common factor of 815/470,7252/540 = [GCF of 815,7252]/[LCM of 470,540]= 1/25380

Therefore, the GCF of 815/470,7252/540 is 1/25380.

Greatest Common Factor of 815,7252

To find the highest common factor of 815,7252, we have to find the factors of both numbers and list the highest common factor.

The factors of 815 are 1, 5, 163, 815

The factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252

The HCF of 815,7252 is 1.

Lets's calculate GCF of 815,7252

Greatest Common Factor (GCF) of 815,7252 By Common Division

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

Greatest Common Factor of 815,7252 By Matching Biggest Common Factor Method

Now, list down the factors of 815

1,5,163,815

Now, list down the factors of 7252

1,2,4,7,14,28,37,49,74,98,148,196,259,518,1036,1813,3626,7252

Greatest Common Factor

We found the factors 815,7252 . The biggest common factor number is the GCF number.
So the greatest common factor 815,7252 is 1.

Lets's calculate LCM of 470,540

Lowest Common Multiple of 470,540 using Common Division

2	470, 540
5	235, 270
	47, 54

∴ So the LCM of the given numbers is 2 x 5 x 47 x 54 = 25380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25380

Therefore, the GCF of Fractions 815/470,7252/540 is 1/25380

Least Common Multiple of 470,540 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 470,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,540) = 10

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

GCF(470,540) x common factors =10 x 1 = 10

LCM(470,540) = ( 470 × 540 ) / 10

LCM(470,540) = 253800 / 10

LCM(470,540) = 25380

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FAQs on GCF of Fractions of 815/470, 7252/540

1. What is the HCF of 815,7252?

The HCF of 815,7252 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 815/470, 7252/540?

Answer: GCF of Numerators as per given numbers 815/470, 7252/540 is

GCF of Numerators i.e. for 815,7252 is 1

LCM of denominators i.e. for 470,540 is 25380.

Thus, GCF of Fractions is 1/25380.Finally, GCF of Fractions for 815/470, 7252/540 is 1/25380.