How to Find GCF of 9046/400, 7627/1736?

GCF of 9046/400, 7627/1736

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 9046/400, 7627/1736 i.e 1/86800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9046/400, 7627/1736.

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 9046/400,7627/1736?

Given fractions are 9046/400,7627/1736

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 9046/400,7627/1736, numerators are 9046,7627

Denominators are 400,1736

The GCF of 9046,7627 is 1 .

LCM of 400,1736 is 86800.

The greatest common factor of 9046/400,7627/1736 = [GCF of 9046,7627]/[LCM of 400,1736]= 1/86800

Therefore, the GCF of 9046/400,7627/1736 is 1/86800.

Greatest Common Factor of 9046,7627

To find the highest common factor of 9046,7627, we have to find the factors of both numbers and list the highest common factor.

The factors of 9046 are 1, 2, 4523, 9046

The factors of 7627 are 1, 29, 263, 7627

The HCF of 9046,7627 is 1.

Lets's calculate GCF of 9046,7627

Greatest Common Factor (GCF) of 9046,7627 By Common Division

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

Greatest Common Factor of 9046,7627 By Matching Biggest Common Factor Method

Now, list down the factors of 9046

1,2,4523,9046

Now, list down the factors of 7627

1,29,263,7627

Greatest Common Factor

We found the factors 9046,7627 . The biggest common factor number is the GCF number.
So the greatest common factor 9046,7627 is 1.

Lets's calculate LCM of 400,1736

Lowest Common Multiple of 400,1736 using Common Division

2	400, 1736
2	200, 868
2	100, 434
	50, 217

∴ So the LCM of the given numbers is 2 x 2 x 2 x 50 x 217 = 86800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86800

Therefore, the GCF of Fractions 9046/400,7627/1736 is 1/86800

Least Common Multiple of 400,1736 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 400,1736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,1736) = 8

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

GCF(400,1736) x common factors =8 x 1 = 8

LCM(400,1736) = ( 400 × 1736 ) / 8

LCM(400,1736) = 694400 / 8

LCM(400,1736) = 86800

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FAQs on GCF of Fractions of 9046/400, 7627/1736

1. What is the HCF of 9046,7627?

The HCF of 9046,7627 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 9046/400, 7627/1736?

Answer: GCF of Numerators as per given numbers 9046/400, 7627/1736 is

GCF of Numerators i.e. for 9046,7627 is 1

LCM of denominators i.e. for 400,1736 is 86800.

Thus, GCF of Fractions is 1/86800.Finally, GCF of Fractions for 9046/400, 7627/1736 is 1/86800.