How to Find GCF of 48/536, 71/932, 607/871?

GCF of 48/536, 71/932, 607/871

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 48/536, 71/932, 607/871 i.e 1/1623544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/536, 71/932, 607/871.

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 48/536,71/932,607/871?

Given fractions are 48/536,71/932,607/871

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 48/536,71/932,607/871, numerators are 48,71,607

Denominators are 536,932,871

The GCF of 48,71,607 is 1 .

LCM of 536,932,871 is 1623544.

The greatest common factor of 48/536,71/932,607/871 = [GCF of 48,71,607]/[LCM of 536,932,871]= 1/1623544

Therefore, the GCF of 48/536,71/932,607/871 is 1/1623544.

Greatest Common Factor of 48,71,607

To find the highest common factor of 48,71,607, we have to find the factors of both numbers and list the highest common factor.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 71 are 1, 71

The factors of 607 are 1, 607

The HCF of 48,71,607 is 1.

Lets's calculate GCF of 48,71,607

Greatest Common Factor (GCF) of 48,71,607 By Common Division

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

Greatest Common Factor of 48,71,607 By Matching Biggest Common Factor Method

Now, list down the factors of 48

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 71

1,71

Now, list down the factors of 607

1,607

Greatest Common Factor

We found the factors 48,71,607 . The biggest common factor number is the GCF number.
So the greatest common factor 48,71,607 is 1.

Lets's calculate LCM of 536,932,871

Lowest Common Multiple of 536,932,871 using Common Division

2	536, 932, 871
2	268, 466, 871
67	134, 233, 871
	2, 233, 13

∴ So the LCM of the given numbers is 2 x 2 x 67 x 2 x 233 x 13 = 1623544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1623544

Therefore, the GCF of Fractions 48/536,71/932,607/871 is 1/1623544

Least Common Multiple of 536,932,871 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 536,932,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,932,871) = 1

common factors(in case of two or more numbers have common factors) = 268

GCF(536,932,871) x common factors =1 x 268 = 268

LCM(536,932,871) = ( 536 × 932 × 871 ) / 268

LCM(536,932,871) = 435109792 / 268

LCM(536,932,871) = 1623544

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 48/536, 71/932, 607/871

1. What is the HCF of 48,71,607?

The HCF of 48,71,607 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 48/536, 71/932, 607/871?

Answer: GCF of Numerators as per given numbers 48/536, 71/932, 607/871 is

GCF of Numerators i.e. for 48,71,607 is 1

LCM of denominators i.e. for 536,932,871 is 1623544.

Thus, GCF of Fractions is 1/1623544.Finally, GCF of Fractions for 48/536, 71/932, 607/871 is 1/1623544.