How to Find GCF of 6271/196, 7766/4048?

GCF of 6271/196, 7766/4048

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 6271/196, 7766/4048 i.e 1/198352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6271/196, 7766/4048.

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 6271/196,7766/4048?

Given fractions are 6271/196,7766/4048

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 6271/196,7766/4048, numerators are 6271,7766

Denominators are 196,4048

The GCF of 6271,7766 is 1 .

LCM of 196,4048 is 198352.

The greatest common factor of 6271/196,7766/4048 = [GCF of 6271,7766]/[LCM of 196,4048]= 1/198352

Therefore, the GCF of 6271/196,7766/4048 is 1/198352.

Greatest Common Factor of 6271,7766

To find the highest common factor of 6271,7766, we have to find the factors of both numbers and list the highest common factor.

The factors of 6271 are 1, 6271

The factors of 7766 are 1, 2, 11, 22, 353, 706, 3883, 7766

The HCF of 6271,7766 is 1.

Lets's calculate GCF of 6271,7766

Greatest Common Factor (GCF) of 6271,7766 By Common Division

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

Greatest Common Factor of 6271,7766 By Matching Biggest Common Factor Method

Now, list down the factors of 6271

1,6271

Now, list down the factors of 7766

1,2,11,22,353,706,3883,7766

Greatest Common Factor

We found the factors 6271,7766 . The biggest common factor number is the GCF number.
So the greatest common factor 6271,7766 is 1.

Lets's calculate LCM of 196,4048

Lowest Common Multiple of 196,4048 using Common Division

2	196, 4048
2	98, 2024
	49, 1012

∴ So the LCM of the given numbers is 2 x 2 x 49 x 1012 = 198352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198352

Therefore, the GCF of Fractions 6271/196,7766/4048 is 1/198352

Least Common Multiple of 196,4048 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 196,4048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,4048) = 4

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

GCF(196,4048) x common factors =4 x 1 = 4

LCM(196,4048) = ( 196 × 4048 ) / 4

LCM(196,4048) = 793408 / 4

LCM(196,4048) = 198352

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FAQs on GCF of Fractions of 6271/196, 7766/4048

1. What is the HCF of 6271,7766?

The HCF of 6271,7766 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 6271/196, 7766/4048?

Answer: GCF of Numerators as per given numbers 6271/196, 7766/4048 is

GCF of Numerators i.e. for 6271,7766 is 1

LCM of denominators i.e. for 196,4048 is 198352.

Thus, GCF of Fractions is 1/198352.Finally, GCF of Fractions for 6271/196, 7766/4048 is 1/198352.