How to Find GCF of 5316/604, 8149/2500?

GCF of 5316/604, 8149/2500

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 5316/604, 8149/2500 i.e 1/377500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5316/604, 8149/2500.

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 5316/604,8149/2500?

Given fractions are 5316/604,8149/2500

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 5316/604,8149/2500, numerators are 5316,8149

Denominators are 604,2500

The GCF of 5316,8149 is 1 .

LCM of 604,2500 is 377500.

The greatest common factor of 5316/604,8149/2500 = [GCF of 5316,8149]/[LCM of 604,2500]= 1/377500

Therefore, the GCF of 5316/604,8149/2500 is 1/377500.

Greatest Common Factor of 5316,8149

To find the highest common factor of 5316,8149, we have to find the factors of both numbers and list the highest common factor.

The factors of 5316 are 1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772, 2658, 5316

The factors of 8149 are 1, 29, 281, 8149

The HCF of 5316,8149 is 1.

Lets's calculate GCF of 5316,8149

Greatest Common Factor (GCF) of 5316,8149 By Common Division

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

Greatest Common Factor of 5316,8149 By Matching Biggest Common Factor Method

Now, list down the factors of 5316

1,2,3,4,6,12,443,886,1329,1772,2658,5316

Now, list down the factors of 8149

1,29,281,8149

Greatest Common Factor

We found the factors 5316,8149 . The biggest common factor number is the GCF number.
So the greatest common factor 5316,8149 is 1.

Lets's calculate LCM of 604,2500

Lowest Common Multiple of 604,2500 using Common Division

2	604, 2500
2	302, 1250
	151, 625

∴ So the LCM of the given numbers is 2 x 2 x 151 x 625 = 377500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377500

Therefore, the GCF of Fractions 5316/604,8149/2500 is 1/377500

Least Common Multiple of 604,2500 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 604,2500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,2500) = 4

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

GCF(604,2500) x common factors =4 x 1 = 4

LCM(604,2500) = ( 604 × 2500 ) / 4

LCM(604,2500) = 1510000 / 4

LCM(604,2500) = 377500

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FAQs on GCF of Fractions of 5316/604, 8149/2500

1. What is the HCF of 5316,8149?

The HCF of 5316,8149 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 5316/604, 8149/2500?

Answer: GCF of Numerators as per given numbers 5316/604, 8149/2500 is

GCF of Numerators i.e. for 5316,8149 is 1

LCM of denominators i.e. for 604,2500 is 377500.

Thus, GCF of Fractions is 1/377500.Finally, GCF of Fractions for 5316/604, 8149/2500 is 1/377500.