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GCF of 9122/852, 6418/309

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 9122/852, 6418/309 i.e 2/87756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9122/852, 6418/309.

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 9122/852,6418/309?

Given fractions are 9122/852,6418/309

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 9122/852,6418/309, numerators are 9122,6418

Denominators are 852,309

The GCF of 9122,6418 is 2 .

LCM of 852,309 is 87756.

The greatest common factor of 9122/852,6418/309 = [GCF of 9122,6418]/[LCM of 852,309]= 2/87756

Therefore, the GCF of 9122/852,6418/309 is 2/87756.

Greatest Common Factor of 9122,6418

To find the highest common factor of 9122,6418, we have to find the factors of both numbers and list the highest common factor.

The factors of 9122 are 1, 2, 4561, 9122

The factors of 6418 are 1, 2, 3209, 6418

The HCF of 9122,6418 is 2.

Lets's calculate GCF of 9122,6418

Greatest Common Factor (GCF) of 9122,6418 By Common Division

2 9122, 6418
4561, 3209

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

Greatest Common Factor of 9122,6418 By Matching Biggest Common Factor Method

Greatest Common Factor of 9122,6418 By Matching Biggest Common Factor Method

Now, list down the factors of 9122

:

1,2,4561,9122

Now, list down the factors of 6418

:

1,2,3209,6418

Greatest Common Factor

We found the factors 9122,6418 . The biggest common factor number is the GCF number.
So the greatest common factor 9122,6418 is 2.


Lets's calculate LCM of 852,309

Lowest Common Multiple of 852,309 using Common Division

3 852, 309
284, 103

∴ So the LCM of the given numbers is 3 x 284 x 103 = 87756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87756

Therefore, the GCF of Fractions 9122/852,6418/309 is 2/87756

Least Common Multiple of 852,309 with GCF Formula

Least Common Multiple of 852,309 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 852,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,309) = 3

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

GCF(852,309) x common factors =3 x 1 = 3

LCM(852,309) = ( 852 × 309 ) / 3

LCM(852,309) = 263268 / 3

LCM(852,309) = 87756


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9122/852, 6418/309

1. What is the HCF of 9122,6418?

The HCF of 9122,6418 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 9122/852, 6418/309?

Answer: GCF of Numerators as per given numbers 9122/852, 6418/309 is

GCF of Numerators i.e. for 9122,6418 is 2

LCM of denominators i.e. for 852,309 is 87756.

Thus, GCF of Fractions is 2/87756.Finally, GCF of Fractions for 9122/852, 6418/309 is 2/87756.