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GCF of 9511/274, 1850/4871

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 9511/274, 1850/4871 i.e 1/1334654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9511/274, 1850/4871.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9511/274,1850/4871?

Given fractions are 9511/274,1850/4871

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 9511/274,1850/4871, numerators are 9511,1850

Denominators are 274,4871

The GCF of 9511,1850 is 1 .

LCM of 274,4871 is 1334654.

The greatest common factor of 9511/274,1850/4871 = [GCF of 9511,1850]/[LCM of 274,4871]= 1/1334654

Therefore, the GCF of 9511/274,1850/4871 is 1/1334654.

Greatest Common Factor of 9511,1850

To find the highest common factor of 9511,1850, we have to find the factors of both numbers and list the highest common factor.

The factors of 9511 are 1, 9511

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

The HCF of 9511,1850 is 1.

Lets's calculate GCF of 9511,1850

Greatest Common Factor (GCF) of 9511,1850 By Common Division

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

Greatest Common Factor of 9511,1850 By Matching Biggest Common Factor Method

Greatest Common Factor of 9511,1850 By Matching Biggest Common Factor Method

Now, list down the factors of 9511

:

1,9511

Now, list down the factors of 1850

:

1,2,5,10,25,37,50,74,185,370,925,1850

Greatest Common Factor

We found the factors 9511,1850 . The biggest common factor number is the GCF number.
So the greatest common factor 9511,1850 is 1.


Lets's calculate LCM of 274,4871

Lowest Common Multiple of 274,4871 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1334654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1334654

Therefore, the GCF of Fractions 9511/274,1850/4871 is 1/1334654

Least Common Multiple of 274,4871 with GCF Formula

Least Common Multiple of 274,4871 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 274,4871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,4871) = 1

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

GCF(274,4871) x common factors =1 x 1 = 1

LCM(274,4871) = ( 274 × 4871 ) / 1

LCM(274,4871) = 1334654 / 1

LCM(274,4871) = 1334654


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9511/274, 1850/4871

1. What is the HCF of 9511,1850?

The HCF of 9511,1850 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 9511/274, 1850/4871?

Answer: GCF of Numerators as per given numbers 9511/274, 1850/4871 is

GCF of Numerators i.e. for 9511,1850 is 1

LCM of denominators i.e. for 274,4871 is 1334654.

Thus, GCF of Fractions is 1/1334654.Finally, GCF of Fractions for 9511/274, 1850/4871 is 1/1334654.