How to Find GCF of 2528/247, 3304/5049?

GCF of 2528/247, 3304/5049

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 2528/247, 3304/5049 i.e 8/1247103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2528/247, 3304/5049.

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 2528/247,3304/5049?

Given fractions are 2528/247,3304/5049

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 2528/247,3304/5049, numerators are 2528,3304

Denominators are 247,5049

The GCF of 2528,3304 is 8 .

LCM of 247,5049 is 1247103.

The greatest common factor of 2528/247,3304/5049 = [GCF of 2528,3304]/[LCM of 247,5049]= 8/1247103

Therefore, the GCF of 2528/247,3304/5049 is 8/1247103.

Greatest Common Factor of 2528,3304

To find the highest common factor of 2528,3304, we have to find the factors of both numbers and list the highest common factor.

The factors of 2528 are 1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528

The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304

The HCF of 2528,3304 is 8.

Lets's calculate GCF of 2528,3304

Greatest Common Factor (GCF) of 2528,3304 By Common Division

2	2528, 3304
2	1264, 1652
2	632, 826
	316, 413

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2528,3304 By Matching Biggest Common Factor Method

Now, list down the factors of 2528

1,2,4,8,16,32,79,158,316,632,1264,2528

Now, list down the factors of 3304

1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304

Greatest Common Factor

We found the factors 2528,3304 . The biggest common factor number is the GCF number.
So the greatest common factor 2528,3304 is 8.

Lets's calculate LCM of 247,5049

Lowest Common Multiple of 247,5049 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1247103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1247103

Therefore, the GCF of Fractions 2528/247,3304/5049 is 8/1247103

Least Common Multiple of 247,5049 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 247,5049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,5049) = 1

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

GCF(247,5049) x common factors =1 x 1 = 1

LCM(247,5049) = ( 247 × 5049 ) / 1

LCM(247,5049) = 1247103 / 1

LCM(247,5049) = 1247103

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2528/247, 3304/5049

1. What is the HCF of 2528,3304?

The HCF of 2528,3304 is 8

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 2528/247, 3304/5049?

Answer: GCF of Numerators as per given numbers 2528/247, 3304/5049 is

GCF of Numerators i.e. for 2528,3304 is 8

LCM of denominators i.e. for 247,5049 is 1247103.

Thus, GCF of Fractions is 8/1247103.Finally, GCF of Fractions for 2528/247, 3304/5049 is 8/1247103.