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GCF of 2699/896, 9094/6821

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 2699/896, 9094/6821 i.e 1/6111616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2699/896, 9094/6821.

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 2699/896,9094/6821?

Given fractions are 2699/896,9094/6821

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 2699/896,9094/6821, numerators are 2699,9094

Denominators are 896,6821

The GCF of 2699,9094 is 1 .

LCM of 896,6821 is 6111616.

The greatest common factor of 2699/896,9094/6821 = [GCF of 2699,9094]/[LCM of 896,6821]= 1/6111616

Therefore, the GCF of 2699/896,9094/6821 is 1/6111616.

Greatest Common Factor of 2699,9094

To find the highest common factor of 2699,9094, we have to find the factors of both numbers and list the highest common factor.

The factors of 2699 are 1, 2699

The factors of 9094 are 1, 2, 4547, 9094

The HCF of 2699,9094 is 1.

Lets's calculate GCF of 2699,9094

Greatest Common Factor (GCF) of 2699,9094 By Common Division

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

Greatest Common Factor of 2699,9094 By Matching Biggest Common Factor Method

Greatest Common Factor of 2699,9094 By Matching Biggest Common Factor Method

Now, list down the factors of 2699

:

1,2699

Now, list down the factors of 9094

:

1,2,4547,9094

Greatest Common Factor

We found the factors 2699,9094 . The biggest common factor number is the GCF number.
So the greatest common factor 2699,9094 is 1.

Lets's calculate LCM of 896,6821

Lowest Common Multiple of 896,6821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6111616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6111616

Therefore, the GCF of Fractions 2699/896,9094/6821 is 1/6111616

Least Common Multiple of 896,6821 with GCF Formula

Least Common Multiple of 896,6821 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 896,6821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,6821) = 1

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

GCF(896,6821) x common factors =1 x 1 = 1

LCM(896,6821) = ( 896 × 6821 ) / 1

LCM(896,6821) = 6111616 / 1

LCM(896,6821) = 6111616


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FAQs on GCF of Fractions of 2699/896, 9094/6821

1. What is the HCF of 2699,9094?

The HCF of 2699,9094 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 2699/896, 9094/6821?

Answer: GCF of Numerators as per given numbers 2699/896, 9094/6821 is

GCF of Numerators i.e. for 2699,9094 is 1

LCM of denominators i.e. for 896,6821 is 6111616.

Thus, GCF of Fractions is 1/6111616.Finally, GCF of Fractions for 2699/896, 9094/6821 is 1/6111616.