How to Find GCF of 7446/929, 8978/1267?

GCF of 7446/929, 8978/1267

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 7446/929, 8978/1267 i.e 2/1177043 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7446/929, 8978/1267.

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 7446/929,8978/1267?

Given fractions are 7446/929,8978/1267

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 7446/929,8978/1267, numerators are 7446,8978

Denominators are 929,1267

The GCF of 7446,8978 is 2 .

LCM of 929,1267 is 1177043.

The greatest common factor of 7446/929,8978/1267 = [GCF of 7446,8978]/[LCM of 929,1267]= 2/1177043

Therefore, the GCF of 7446/929,8978/1267 is 2/1177043.

Greatest Common Factor of 7446,8978

To find the highest common factor of 7446,8978, we have to find the factors of both numbers and list the highest common factor.

The factors of 7446 are 1, 2, 3, 6, 17, 34, 51, 73, 102, 146, 219, 438, 1241, 2482, 3723, 7446

The factors of 8978 are 1, 2, 67, 134, 4489, 8978

The HCF of 7446,8978 is 2.

Lets's calculate GCF of 7446,8978

Greatest Common Factor (GCF) of 7446,8978 By Common Division

2	7446, 8978
	3723, 4489

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7446,8978 By Matching Biggest Common Factor Method

Now, list down the factors of 7446

1,2,3,6,17,34,51,73,102,146,219,438,1241,2482,3723,7446

Now, list down the factors of 8978

1,2,67,134,4489,8978

Greatest Common Factor

We found the factors 7446,8978 . The biggest common factor number is the GCF number.
So the greatest common factor 7446,8978 is 2.

Lets's calculate LCM of 929,1267

Lowest Common Multiple of 929,1267 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1177043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1177043

Therefore, the GCF of Fractions 7446/929,8978/1267 is 2/1177043

Least Common Multiple of 929,1267 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 929,1267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,1267) = 1

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

GCF(929,1267) x common factors =1 x 1 = 1

LCM(929,1267) = ( 929 × 1267 ) / 1

LCM(929,1267) = 1177043 / 1

LCM(929,1267) = 1177043

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7446/929, 8978/1267

1. What is the HCF of 7446,8978?

The HCF of 7446,8978 is 2

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 7446/929, 8978/1267?

Answer: GCF of Numerators as per given numbers 7446/929, 8978/1267 is

GCF of Numerators i.e. for 7446,8978 is 2

LCM of denominators i.e. for 929,1267 is 1177043.

Thus, GCF of Fractions is 2/1177043.Finally, GCF of Fractions for 7446/929, 8978/1267 is 2/1177043.