How to Find GCF of 2929/898, 7726/5939?

GCF of 2929/898, 7726/5939

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 2929/898, 7726/5939 i.e 1/5333222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2929/898, 7726/5939.

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 2929/898,7726/5939?

Given fractions are 2929/898,7726/5939

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 2929/898,7726/5939, numerators are 2929,7726

Denominators are 898,5939

The GCF of 2929,7726 is 1 .

LCM of 898,5939 is 5333222.

The greatest common factor of 2929/898,7726/5939 = [GCF of 2929,7726]/[LCM of 898,5939]= 1/5333222

Therefore, the GCF of 2929/898,7726/5939 is 1/5333222.

Greatest Common Factor of 2929,7726

To find the highest common factor of 2929,7726, we have to find the factors of both numbers and list the highest common factor.

The factors of 2929 are 1, 29, 101, 2929

The factors of 7726 are 1, 2, 3863, 7726

The HCF of 2929,7726 is 1.

Lets's calculate GCF of 2929,7726

Greatest Common Factor (GCF) of 2929,7726 By Common Division

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

Greatest Common Factor of 2929,7726 By Matching Biggest Common Factor Method

Now, list down the factors of 2929

1,29,101,2929

Now, list down the factors of 7726

1,2,3863,7726

Greatest Common Factor

We found the factors 2929,7726 . The biggest common factor number is the GCF number.
So the greatest common factor 2929,7726 is 1.

Lets's calculate LCM of 898,5939

Lowest Common Multiple of 898,5939 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5333222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5333222

Therefore, the GCF of Fractions 2929/898,7726/5939 is 1/5333222

Least Common Multiple of 898,5939 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 898,5939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,5939) = 1

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

GCF(898,5939) x common factors =1 x 1 = 1

LCM(898,5939) = ( 898 × 5939 ) / 1

LCM(898,5939) = 5333222 / 1

LCM(898,5939) = 5333222

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FAQs on GCF of Fractions of 2929/898, 7726/5939

1. What is the HCF of 2929,7726?

The HCF of 2929,7726 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 2929/898, 7726/5939?

Answer: GCF of Numerators as per given numbers 2929/898, 7726/5939 is

GCF of Numerators i.e. for 2929,7726 is 1

LCM of denominators i.e. for 898,5939 is 5333222.

Thus, GCF of Fractions is 1/5333222.Finally, GCF of Fractions for 2929/898, 7726/5939 is 1/5333222.