How to Find GCF of 4869/362, 4051/6680?

GCF of 4869/362, 4051/6680

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 4869/362, 4051/6680 i.e 1/1209080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4869/362, 4051/6680.

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 4869/362,4051/6680?

Given fractions are 4869/362,4051/6680

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 4869/362,4051/6680, numerators are 4869,4051

Denominators are 362,6680

The GCF of 4869,4051 is 1 .

LCM of 362,6680 is 1209080.

The greatest common factor of 4869/362,4051/6680 = [GCF of 4869,4051]/[LCM of 362,6680]= 1/1209080

Therefore, the GCF of 4869/362,4051/6680 is 1/1209080.

Greatest Common Factor of 4869,4051

To find the highest common factor of 4869,4051, we have to find the factors of both numbers and list the highest common factor.

The factors of 4869 are 1, 3, 9, 541, 1623, 4869

The factors of 4051 are 1, 4051

The HCF of 4869,4051 is 1.

Lets's calculate GCF of 4869,4051

Greatest Common Factor (GCF) of 4869,4051 By Common Division

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

Greatest Common Factor of 4869,4051 By Matching Biggest Common Factor Method

Now, list down the factors of 4869

1,3,9,541,1623,4869

Now, list down the factors of 4051

1,4051

Greatest Common Factor

We found the factors 4869,4051 . The biggest common factor number is the GCF number.
So the greatest common factor 4869,4051 is 1.

Lets's calculate LCM of 362,6680

Lowest Common Multiple of 362,6680 using Common Division

2	362, 6680
	181, 3340

∴ So the LCM of the given numbers is 2 x 181 x 3340 = 1209080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1209080

Therefore, the GCF of Fractions 4869/362,4051/6680 is 1/1209080

Least Common Multiple of 362,6680 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 362,6680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,6680) = 2

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

GCF(362,6680) x common factors =2 x 1 = 2

LCM(362,6680) = ( 362 × 6680 ) / 2

LCM(362,6680) = 2418160 / 2

LCM(362,6680) = 1209080

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FAQs on GCF of Fractions of 4869/362, 4051/6680

1. What is the HCF of 4869,4051?

The HCF of 4869,4051 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 4869/362, 4051/6680?

Answer: GCF of Numerators as per given numbers 4869/362, 4051/6680 is

GCF of Numerators i.e. for 4869,4051 is 1

LCM of denominators i.e. for 362,6680 is 1209080.

Thus, GCF of Fractions is 1/1209080.Finally, GCF of Fractions for 4869/362, 4051/6680 is 1/1209080.