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GCF of 484/45, 952/948

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 484/45, 952/948 i.e 4/14220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 484/45, 952/948.

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 484/45,952/948?

Given fractions are 484/45,952/948

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 484/45,952/948, numerators are 484,952

Denominators are 45,948

The GCF of 484,952 is 4 .

LCM of 45,948 is 14220.

The greatest common factor of 484/45,952/948 = [GCF of 484,952]/[LCM of 45,948]= 4/14220

Therefore, the GCF of 484/45,952/948 is 4/14220.

Greatest Common Factor of 484,952

To find the highest common factor of 484,952, we have to find the factors of both numbers and list the highest common factor.

The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484

The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

The HCF of 484,952 is 4.

Lets's calculate GCF of 484,952

Greatest Common Factor (GCF) of 484,952 By Common Division

2 484, 952
2 242, 476
121, 238

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 484,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,952 By Matching Biggest Common Factor Method

Now, list down the factors of 484

:

1,2,4,11,22,44,121,242,484

Now, list down the factors of 952

:

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 484,952 . The biggest common factor number is the GCF number.
So the greatest common factor 484,952 is 4.

Lets's calculate LCM of 45,948

Lowest Common Multiple of 45,948 using Common Division

3 45, 948
15, 316

∴ So the LCM of the given numbers is 3 x 15 x 316 = 14220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14220

Therefore, the GCF of Fractions 484/45,952/948 is 4/14220

Least Common Multiple of 45,948 with GCF Formula

Least Common Multiple of 45,948 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 45,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,948) = 3

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

GCF(45,948) x common factors =3 x 1 = 3

LCM(45,948) = ( 45 × 948 ) / 3

LCM(45,948) = 42660 / 3

LCM(45,948) = 14220


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FAQs on GCF of Fractions of 484/45, 952/948

1. What is the HCF of 484,952?

The HCF of 484,952 is 4

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 484/45, 952/948?

Answer: GCF of Numerators as per given numbers 484/45, 952/948 is

GCF of Numerators i.e. for 484,952 is 4

LCM of denominators i.e. for 45,948 is 14220.

Thus, GCF of Fractions is 4/14220.Finally, GCF of Fractions for 484/45, 952/948 is 4/14220.