How to Find GCF of 3447/428, 7934/9130?

GCF of 3447/428, 7934/9130

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 3447/428, 7934/9130 i.e 1/1953820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3447/428, 7934/9130.

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 3447/428,7934/9130?

Given fractions are 3447/428,7934/9130

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 3447/428,7934/9130, numerators are 3447,7934

Denominators are 428,9130

The GCF of 3447,7934 is 1 .

LCM of 428,9130 is 1953820.

The greatest common factor of 3447/428,7934/9130 = [GCF of 3447,7934]/[LCM of 428,9130]= 1/1953820

Therefore, the GCF of 3447/428,7934/9130 is 1/1953820.

Greatest Common Factor of 3447,7934

To find the highest common factor of 3447,7934, we have to find the factors of both numbers and list the highest common factor.

The factors of 3447 are 1, 3, 9, 383, 1149, 3447

The factors of 7934 are 1, 2, 3967, 7934

The HCF of 3447,7934 is 1.

Lets's calculate GCF of 3447,7934

Greatest Common Factor (GCF) of 3447,7934 By Common Division

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

Greatest Common Factor of 3447,7934 By Matching Biggest Common Factor Method

Now, list down the factors of 3447

1,3,9,383,1149,3447

Now, list down the factors of 7934

1,2,3967,7934

Greatest Common Factor

We found the factors 3447,7934 . The biggest common factor number is the GCF number.
So the greatest common factor 3447,7934 is 1.

Lets's calculate LCM of 428,9130

Lowest Common Multiple of 428,9130 using Common Division

2	428, 9130
	214, 4565

∴ So the LCM of the given numbers is 2 x 214 x 4565 = 1953820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1953820

Therefore, the GCF of Fractions 3447/428,7934/9130 is 1/1953820

Least Common Multiple of 428,9130 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 428,9130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,9130) = 2

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

GCF(428,9130) x common factors =2 x 1 = 2

LCM(428,9130) = ( 428 × 9130 ) / 2

LCM(428,9130) = 3907640 / 2

LCM(428,9130) = 1953820

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FAQs on GCF of Fractions of 3447/428, 7934/9130

1. What is the HCF of 3447,7934?

The HCF of 3447,7934 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 3447/428, 7934/9130?

Answer: GCF of Numerators as per given numbers 3447/428, 7934/9130 is

GCF of Numerators i.e. for 3447,7934 is 1

LCM of denominators i.e. for 428,9130 is 1953820.

Thus, GCF of Fractions is 1/1953820.Finally, GCF of Fractions for 3447/428, 7934/9130 is 1/1953820.