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GCF of 7266/209, 9262/8875

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 7266/209, 9262/8875 i.e 2/1854875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7266/209, 9262/8875.

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 7266/209,9262/8875?

Given fractions are 7266/209,9262/8875

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 7266/209,9262/8875, numerators are 7266,9262

Denominators are 209,8875

The GCF of 7266,9262 is 2 .

LCM of 209,8875 is 1854875.

The greatest common factor of 7266/209,9262/8875 = [GCF of 7266,9262]/[LCM of 209,8875]= 2/1854875

Therefore, the GCF of 7266/209,9262/8875 is 2/1854875.

Greatest Common Factor of 7266,9262

To find the highest common factor of 7266,9262, we have to find the factors of both numbers and list the highest common factor.

The factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266

The factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262

The HCF of 7266,9262 is 2.

Lets's calculate GCF of 7266,9262

Greatest Common Factor (GCF) of 7266,9262 By Common Division

2 7266, 9262
3633, 4631

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

Greatest Common Factor of 7266,9262 By Matching Biggest Common Factor Method

Greatest Common Factor of 7266,9262 By Matching Biggest Common Factor Method

Now, list down the factors of 7266

:

1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266

Now, list down the factors of 9262

:

1,2,11,22,421,842,4631,9262

Greatest Common Factor

We found the factors 7266,9262 . The biggest common factor number is the GCF number.
So the greatest common factor 7266,9262 is 2.


Lets's calculate LCM of 209,8875

Lowest Common Multiple of 209,8875 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1854875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1854875

Therefore, the GCF of Fractions 7266/209,9262/8875 is 2/1854875

Least Common Multiple of 209,8875 with GCF Formula

Least Common Multiple of 209,8875 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 209,8875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,8875) = 1

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

GCF(209,8875) x common factors =1 x 1 = 1

LCM(209,8875) = ( 209 × 8875 ) / 1

LCM(209,8875) = 1854875 / 1

LCM(209,8875) = 1854875


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7266/209, 9262/8875

1. What is the HCF of 7266,9262?

The HCF of 7266,9262 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 7266/209, 9262/8875?

Answer: GCF of Numerators as per given numbers 7266/209, 9262/8875 is

GCF of Numerators i.e. for 7266,9262 is 2

LCM of denominators i.e. for 209,8875 is 1854875.

Thus, GCF of Fractions is 2/1854875.Finally, GCF of Fractions for 7266/209, 9262/8875 is 2/1854875.