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GCF of 2969/277, 6259/8133

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 2969/277, 6259/8133 i.e 1/2252841 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2969/277, 6259/8133.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2969/277,6259/8133?

Given fractions are 2969/277,6259/8133

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 2969/277,6259/8133, numerators are 2969,6259

Denominators are 277,8133

The GCF of 2969,6259 is 1 .

LCM of 277,8133 is 2252841.

The greatest common factor of 2969/277,6259/8133 = [GCF of 2969,6259]/[LCM of 277,8133]= 1/2252841

Therefore, the GCF of 2969/277,6259/8133 is 1/2252841.

Greatest Common Factor of 2969,6259

To find the highest common factor of 2969,6259, we have to find the factors of both numbers and list the highest common factor.

The factors of 2969 are 1, 2969

The factors of 6259 are 1, 11, 569, 6259

The HCF of 2969,6259 is 1.

Lets's calculate GCF of 2969,6259

Greatest Common Factor (GCF) of 2969,6259 By Common Division

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

Greatest Common Factor of 2969,6259 By Matching Biggest Common Factor Method

Greatest Common Factor of 2969,6259 By Matching Biggest Common Factor Method

Now, list down the factors of 2969

:

1,2969

Now, list down the factors of 6259

:

1,11,569,6259

Greatest Common Factor

We found the factors 2969,6259 . The biggest common factor number is the GCF number.
So the greatest common factor 2969,6259 is 1.

Lets's calculate LCM of 277,8133

Lowest Common Multiple of 277,8133 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2252841

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2252841

Therefore, the GCF of Fractions 2969/277,6259/8133 is 1/2252841

Least Common Multiple of 277,8133 with GCF Formula

Least Common Multiple of 277,8133 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 277,8133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,8133) = 1

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

GCF(277,8133) x common factors =1 x 1 = 1

LCM(277,8133) = ( 277 × 8133 ) / 1

LCM(277,8133) = 2252841 / 1

LCM(277,8133) = 2252841


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FAQs on GCF of Fractions of 2969/277, 6259/8133

1. What is the HCF of 2969,6259?

The HCF of 2969,6259 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 2969/277, 6259/8133?

Answer: GCF of Numerators as per given numbers 2969/277, 6259/8133 is

GCF of Numerators i.e. for 2969,6259 is 1

LCM of denominators i.e. for 277,8133 is 2252841.

Thus, GCF of Fractions is 1/2252841.Finally, GCF of Fractions for 2969/277, 6259/8133 is 1/2252841.