How to Find GCF of 6056/978, 8311/6450?

GCF of 6056/978, 8311/6450

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 6056/978, 8311/6450 i.e 1/1051350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6056/978, 8311/6450.

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 6056/978,8311/6450?

Given fractions are 6056/978,8311/6450

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 6056/978,8311/6450, numerators are 6056,8311

Denominators are 978,6450

The GCF of 6056,8311 is 1 .

LCM of 978,6450 is 1051350.

The greatest common factor of 6056/978,8311/6450 = [GCF of 6056,8311]/[LCM of 978,6450]= 1/1051350

Therefore, the GCF of 6056/978,8311/6450 is 1/1051350.

Greatest Common Factor of 6056,8311

To find the highest common factor of 6056,8311, we have to find the factors of both numbers and list the highest common factor.

The factors of 6056 are 1, 2, 4, 8, 757, 1514, 3028, 6056

The factors of 8311 are 1, 8311

The HCF of 6056,8311 is 1.

Lets's calculate GCF of 6056,8311

Greatest Common Factor (GCF) of 6056,8311 By Common Division

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

Greatest Common Factor of 6056,8311 By Matching Biggest Common Factor Method

Now, list down the factors of 6056

1,2,4,8,757,1514,3028,6056

Now, list down the factors of 8311

1,8311

Greatest Common Factor

We found the factors 6056,8311 . The biggest common factor number is the GCF number.
So the greatest common factor 6056,8311 is 1.

Lets's calculate LCM of 978,6450

Lowest Common Multiple of 978,6450 using Common Division

2	978, 6450
3	489, 3225
	163, 1075

∴ So the LCM of the given numbers is 2 x 3 x 163 x 1075 = 1051350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1051350

Therefore, the GCF of Fractions 6056/978,8311/6450 is 1/1051350

Least Common Multiple of 978,6450 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 978,6450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,6450) = 6

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

GCF(978,6450) x common factors =6 x 1 = 6

LCM(978,6450) = ( 978 × 6450 ) / 6

LCM(978,6450) = 6308100 / 6

LCM(978,6450) = 1051350

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6056/978, 8311/6450

1. What is the HCF of 6056,8311?

The HCF of 6056,8311 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 6056/978, 8311/6450?

Answer: GCF of Numerators as per given numbers 6056/978, 8311/6450 is

GCF of Numerators i.e. for 6056,8311 is 1

LCM of denominators i.e. for 978,6450 is 1051350.

Thus, GCF of Fractions is 1/1051350.Finally, GCF of Fractions for 6056/978, 8311/6450 is 1/1051350.