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GCF of 915/920, 3802/552

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 915/920, 3802/552 i.e 1/2760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/920, 3802/552.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 915/920,3802/552?

Given fractions are 915/920,3802/552

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 915/920,3802/552, numerators are 915,3802

Denominators are 920,552

The GCF of 915,3802 is 1 .

LCM of 920,552 is 2760.

The greatest common factor of 915/920,3802/552 = [GCF of 915,3802]/[LCM of 920,552]= 1/2760

Therefore, the GCF of 915/920,3802/552 is 1/2760.

Greatest Common Factor of 915,3802

To find the highest common factor of 915,3802, we have to find the factors of both numbers and list the highest common factor.

The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915

The factors of 3802 are 1, 2, 1901, 3802

The HCF of 915,3802 is 1.

Lets's calculate GCF of 915,3802

Greatest Common Factor (GCF) of 915,3802 By Common Division

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

Greatest Common Factor of 915,3802 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,3802 By Matching Biggest Common Factor Method

Now, list down the factors of 915

:

1,3,5,15,61,183,305,915

Now, list down the factors of 3802

:

1,2,1901,3802

Greatest Common Factor

We found the factors 915,3802 . The biggest common factor number is the GCF number.
So the greatest common factor 915,3802 is 1.

Lets's calculate LCM of 920,552

Lowest Common Multiple of 920,552 using Common Division

2 920, 552
2 460, 276
2 230, 138
23 115, 69
5, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 5 x 3 = 2760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2760

Therefore, the GCF of Fractions 915/920,3802/552 is 1/2760

Least Common Multiple of 920,552 with GCF Formula

Least Common Multiple of 920,552 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 920,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,552) = 184

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

GCF(920,552) x common factors =184 x 1 = 184

LCM(920,552) = ( 920 × 552 ) / 184

LCM(920,552) = 507840 / 184

LCM(920,552) = 2760


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FAQs on GCF of Fractions of 915/920, 3802/552

1. What is the HCF of 915,3802?

The HCF of 915,3802 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 915/920, 3802/552?

Answer: GCF of Numerators as per given numbers 915/920, 3802/552 is

GCF of Numerators i.e. for 915,3802 is 1

LCM of denominators i.e. for 920,552 is 2760.

Thus, GCF of Fractions is 1/2760.Finally, GCF of Fractions for 915/920, 3802/552 is 1/2760.