How to Find GCF of 3923/676, 7035/9944?

GCF of 3923/676, 7035/9944

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 3923/676, 7035/9944 i.e 1/1680536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3923/676, 7035/9944.

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 3923/676,7035/9944?

Given fractions are 3923/676,7035/9944

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 3923/676,7035/9944, numerators are 3923,7035

Denominators are 676,9944

The GCF of 3923,7035 is 1 .

LCM of 676,9944 is 1680536.

The greatest common factor of 3923/676,7035/9944 = [GCF of 3923,7035]/[LCM of 676,9944]= 1/1680536

Therefore, the GCF of 3923/676,7035/9944 is 1/1680536.

Greatest Common Factor of 3923,7035

To find the highest common factor of 3923,7035, we have to find the factors of both numbers and list the highest common factor.

The factors of 3923 are 1, 3923

The factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035

The HCF of 3923,7035 is 1.

Lets's calculate GCF of 3923,7035

Greatest Common Factor (GCF) of 3923,7035 By Common Division

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

Greatest Common Factor of 3923,7035 By Matching Biggest Common Factor Method

Now, list down the factors of 3923

1,3923

Now, list down the factors of 7035

1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035

Greatest Common Factor

We found the factors 3923,7035 . The biggest common factor number is the GCF number.
So the greatest common factor 3923,7035 is 1.

Lets's calculate LCM of 676,9944

Lowest Common Multiple of 676,9944 using Common Division

2	676, 9944
2	338, 4972
	169, 2486

∴ So the LCM of the given numbers is 2 x 2 x 169 x 2486 = 1680536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680536

Therefore, the GCF of Fractions 3923/676,7035/9944 is 1/1680536

Least Common Multiple of 676,9944 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 676,9944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,9944) = 4

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

GCF(676,9944) x common factors =4 x 1 = 4

LCM(676,9944) = ( 676 × 9944 ) / 4

LCM(676,9944) = 6722144 / 4

LCM(676,9944) = 1680536

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FAQs on GCF of Fractions of 3923/676, 7035/9944

1. What is the HCF of 3923,7035?

The HCF of 3923,7035 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 3923/676, 7035/9944?

Answer: GCF of Numerators as per given numbers 3923/676, 7035/9944 is

GCF of Numerators i.e. for 3923,7035 is 1

LCM of denominators i.e. for 676,9944 is 1680536.

Thus, GCF of Fractions is 1/1680536.Finally, GCF of Fractions for 3923/676, 7035/9944 is 1/1680536.