How to Find GCF of 6932/600, 1549/3164?

GCF of 6932/600, 1549/3164

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 6932/600, 1549/3164 i.e 1/474600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6932/600, 1549/3164.

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 6932/600,1549/3164?

Given fractions are 6932/600,1549/3164

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 6932/600,1549/3164, numerators are 6932,1549

Denominators are 600,3164

The GCF of 6932,1549 is 1 .

LCM of 600,3164 is 474600.

The greatest common factor of 6932/600,1549/3164 = [GCF of 6932,1549]/[LCM of 600,3164]= 1/474600

Therefore, the GCF of 6932/600,1549/3164 is 1/474600.

Greatest Common Factor of 6932,1549

To find the highest common factor of 6932,1549, we have to find the factors of both numbers and list the highest common factor.

The factors of 6932 are 1, 2, 4, 1733, 3466, 6932

The factors of 1549 are 1, 1549

The HCF of 6932,1549 is 1.

Lets's calculate GCF of 6932,1549

Greatest Common Factor (GCF) of 6932,1549 By Common Division

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

Greatest Common Factor of 6932,1549 By Matching Biggest Common Factor Method

Now, list down the factors of 6932

1,2,4,1733,3466,6932

Now, list down the factors of 1549

1,1549

Greatest Common Factor

We found the factors 6932,1549 . The biggest common factor number is the GCF number.
So the greatest common factor 6932,1549 is 1.

Lets's calculate LCM of 600,3164

Lowest Common Multiple of 600,3164 using Common Division

2	600, 3164
2	300, 1582
	150, 791

∴ So the LCM of the given numbers is 2 x 2 x 150 x 791 = 474600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474600

Therefore, the GCF of Fractions 6932/600,1549/3164 is 1/474600

Least Common Multiple of 600,3164 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 600,3164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,3164) = 4

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

GCF(600,3164) x common factors =4 x 1 = 4

LCM(600,3164) = ( 600 × 3164 ) / 4

LCM(600,3164) = 1898400 / 4

LCM(600,3164) = 474600

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FAQs on GCF of Fractions of 6932/600, 1549/3164

1. What is the HCF of 6932,1549?

The HCF of 6932,1549 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 6932/600, 1549/3164?

Answer: GCF of Numerators as per given numbers 6932/600, 1549/3164 is

GCF of Numerators i.e. for 6932,1549 is 1

LCM of denominators i.e. for 600,3164 is 474600.

Thus, GCF of Fractions is 1/474600.Finally, GCF of Fractions for 6932/600, 1549/3164 is 1/474600.