How to Find GCF of 7856/373, 9250/404?

GCF of 7856/373, 9250/404

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 7856/373, 9250/404 i.e 2/150692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7856/373, 9250/404.

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 7856/373,9250/404?

Given fractions are 7856/373,9250/404

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 7856/373,9250/404, numerators are 7856,9250

Denominators are 373,404

The GCF of 7856,9250 is 2 .

LCM of 373,404 is 150692.

The greatest common factor of 7856/373,9250/404 = [GCF of 7856,9250]/[LCM of 373,404]= 2/150692

Therefore, the GCF of 7856/373,9250/404 is 2/150692.

Greatest Common Factor of 7856,9250

To find the highest common factor of 7856,9250, we have to find the factors of both numbers and list the highest common factor.

The factors of 7856 are 1, 2, 4, 8, 16, 491, 982, 1964, 3928, 7856

The factors of 9250 are 1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250

The HCF of 7856,9250 is 2.

Lets's calculate GCF of 7856,9250

Greatest Common Factor (GCF) of 7856,9250 By Common Division

2	7856, 9250
	3928, 4625

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

Greatest Common Factor of 7856,9250 By Matching Biggest Common Factor Method

Now, list down the factors of 7856

1,2,4,8,16,491,982,1964,3928,7856

Now, list down the factors of 9250

1,2,5,10,25,37,50,74,125,185,250,370,925,1850,4625,9250

Greatest Common Factor

We found the factors 7856,9250 . The biggest common factor number is the GCF number.
So the greatest common factor 7856,9250 is 2.

Lets's calculate LCM of 373,404

Lowest Common Multiple of 373,404 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 150692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/150692

Therefore, the GCF of Fractions 7856/373,9250/404 is 2/150692

Least Common Multiple of 373,404 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 373,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,404) = 1

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

GCF(373,404) x common factors =1 x 1 = 1

LCM(373,404) = ( 373 × 404 ) / 1

LCM(373,404) = 150692 / 1

LCM(373,404) = 150692

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FAQs on GCF of Fractions of 7856/373, 9250/404

1. What is the HCF of 7856,9250?

The HCF of 7856,9250 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 7856/373, 9250/404?

Answer: GCF of Numerators as per given numbers 7856/373, 9250/404 is

GCF of Numerators i.e. for 7856,9250 is 2

LCM of denominators i.e. for 373,404 is 150692.

Thus, GCF of Fractions is 2/150692.Finally, GCF of Fractions for 7856/373, 9250/404 is 2/150692.