How to Find GCF of 478/692, 6051/2220?

GCF of 478/692, 6051/2220

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 478/692, 6051/2220 i.e 1/384060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 478/692, 6051/2220.

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 478/692,6051/2220?

Given fractions are 478/692,6051/2220

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 478/692,6051/2220, numerators are 478,6051

Denominators are 692,2220

The GCF of 478,6051 is 1 .

LCM of 692,2220 is 384060.

The greatest common factor of 478/692,6051/2220 = [GCF of 478,6051]/[LCM of 692,2220]= 1/384060

Therefore, the GCF of 478/692,6051/2220 is 1/384060.

Greatest Common Factor of 478,6051

To find the highest common factor of 478,6051, we have to find the factors of both numbers and list the highest common factor.

The factors of 478 are 1, 2, 239, 478

The factors of 6051 are 1, 3, 2017, 6051

The HCF of 478,6051 is 1.

Lets's calculate GCF of 478,6051

Greatest Common Factor (GCF) of 478,6051 By Common Division

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

Greatest Common Factor of 478,6051 By Matching Biggest Common Factor Method

Now, list down the factors of 478

1,2,239,478

Now, list down the factors of 6051

1,3,2017,6051

Greatest Common Factor

We found the factors 478,6051 . The biggest common factor number is the GCF number.
So the greatest common factor 478,6051 is 1.

Lets's calculate LCM of 692,2220

Lowest Common Multiple of 692,2220 using Common Division

2	692, 2220
2	346, 1110
	173, 555

∴ So the LCM of the given numbers is 2 x 2 x 173 x 555 = 384060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384060

Therefore, the GCF of Fractions 478/692,6051/2220 is 1/384060

Least Common Multiple of 692,2220 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 692,2220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,2220) = 4

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

GCF(692,2220) x common factors =4 x 1 = 4

LCM(692,2220) = ( 692 × 2220 ) / 4

LCM(692,2220) = 1536240 / 4

LCM(692,2220) = 384060

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FAQs on GCF of Fractions of 478/692, 6051/2220

1. What is the HCF of 478,6051?

The HCF of 478,6051 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 478/692, 6051/2220?

Answer: GCF of Numerators as per given numbers 478/692, 6051/2220 is

GCF of Numerators i.e. for 478,6051 is 1

LCM of denominators i.e. for 692,2220 is 384060.

Thus, GCF of Fractions is 1/384060.Finally, GCF of Fractions for 478/692, 6051/2220 is 1/384060.