How to Find GCF of 15/354, 9622/6760?

GCF of 15/354, 9622/6760

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 15/354, 9622/6760 i.e 1/1196520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/354, 9622/6760.

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 15/354,9622/6760?

Given fractions are 15/354,9622/6760

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 15/354,9622/6760, numerators are 15,9622

Denominators are 354,6760

The GCF of 15,9622 is 1 .

LCM of 354,6760 is 1196520.

The greatest common factor of 15/354,9622/6760 = [GCF of 15,9622]/[LCM of 354,6760]= 1/1196520

Therefore, the GCF of 15/354,9622/6760 is 1/1196520.

Greatest Common Factor of 15,9622

To find the highest common factor of 15,9622, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 9622 are 1, 2, 17, 34, 283, 566, 4811, 9622

The HCF of 15,9622 is 1.

Lets's calculate GCF of 15,9622

Greatest Common Factor (GCF) of 15,9622 By Common Division

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

Greatest Common Factor of 15,9622 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 9622

1,2,17,34,283,566,4811,9622

Greatest Common Factor

We found the factors 15,9622 . The biggest common factor number is the GCF number.
So the greatest common factor 15,9622 is 1.

Lets's calculate LCM of 354,6760

Lowest Common Multiple of 354,6760 using Common Division

2	354, 6760
	177, 3380

∴ So the LCM of the given numbers is 2 x 177 x 3380 = 1196520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1196520

Therefore, the GCF of Fractions 15/354,9622/6760 is 1/1196520

Least Common Multiple of 354,6760 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 354,6760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,6760) = 2

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

GCF(354,6760) x common factors =2 x 1 = 2

LCM(354,6760) = ( 354 × 6760 ) / 2

LCM(354,6760) = 2393040 / 2

LCM(354,6760) = 1196520

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 15/354, 9622/6760

1. What is the HCF of 15,9622?

The HCF of 15,9622 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 15/354, 9622/6760?

Answer: GCF of Numerators as per given numbers 15/354, 9622/6760 is

GCF of Numerators i.e. for 15,9622 is 1

LCM of denominators i.e. for 354,6760 is 1196520.

Thus, GCF of Fractions is 1/1196520.Finally, GCF of Fractions for 15/354, 9622/6760 is 1/1196520.