How to Find GCF of 8074/540, 3953/3112?

GCF of 8074/540, 3953/3112

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 8074/540, 3953/3112 i.e 1/420120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8074/540, 3953/3112.

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 8074/540,3953/3112?

Given fractions are 8074/540,3953/3112

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 8074/540,3953/3112, numerators are 8074,3953

Denominators are 540,3112

The GCF of 8074,3953 is 1 .

LCM of 540,3112 is 420120.

The greatest common factor of 8074/540,3953/3112 = [GCF of 8074,3953]/[LCM of 540,3112]= 1/420120

Therefore, the GCF of 8074/540,3953/3112 is 1/420120.

Greatest Common Factor of 8074,3953

To find the highest common factor of 8074,3953, we have to find the factors of both numbers and list the highest common factor.

The factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074

The factors of 3953 are 1, 59, 67, 3953

The HCF of 8074,3953 is 1.

Lets's calculate GCF of 8074,3953

Greatest Common Factor (GCF) of 8074,3953 By Common Division

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

Greatest Common Factor of 8074,3953 By Matching Biggest Common Factor Method

Now, list down the factors of 8074

1,2,11,22,367,734,4037,8074

Now, list down the factors of 3953

1,59,67,3953

Greatest Common Factor

We found the factors 8074,3953 . The biggest common factor number is the GCF number.
So the greatest common factor 8074,3953 is 1.

Lets's calculate LCM of 540,3112

Lowest Common Multiple of 540,3112 using Common Division

2	540, 3112
2	270, 1556
	135, 778

∴ So the LCM of the given numbers is 2 x 2 x 135 x 778 = 420120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420120

Therefore, the GCF of Fractions 8074/540,3953/3112 is 1/420120

Least Common Multiple of 540,3112 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 540,3112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,3112) = 4

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

GCF(540,3112) x common factors =4 x 1 = 4

LCM(540,3112) = ( 540 × 3112 ) / 4

LCM(540,3112) = 1680480 / 4

LCM(540,3112) = 420120

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8074/540, 3953/3112

1. What is the HCF of 8074,3953?

The HCF of 8074,3953 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 8074/540, 3953/3112?

Answer: GCF of Numerators as per given numbers 8074/540, 3953/3112 is

GCF of Numerators i.e. for 8074,3953 is 1

LCM of denominators i.e. for 540,3112 is 420120.

Thus, GCF of Fractions is 1/420120.Finally, GCF of Fractions for 8074/540, 3953/3112 is 1/420120.