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GCF of 974/45, 240/7324

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 974/45, 240/7324 i.e 2/329580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/45, 240/7324.

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 974/45,240/7324?

Given fractions are 974/45,240/7324

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 974/45,240/7324, numerators are 974,240

Denominators are 45,7324

The GCF of 974,240 is 2 .

LCM of 45,7324 is 329580.

The greatest common factor of 974/45,240/7324 = [GCF of 974,240]/[LCM of 45,7324]= 2/329580

Therefore, the GCF of 974/45,240/7324 is 2/329580.

Greatest Common Factor of 974,240

To find the highest common factor of 974,240, we have to find the factors of both numbers and list the highest common factor.

The factors of 974 are 1, 2, 487, 974

The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

The HCF of 974,240 is 2.

Lets's calculate GCF of 974,240

Greatest Common Factor (GCF) of 974,240 By Common Division

2 974, 240
487, 120

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

Greatest Common Factor of 974,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,240 By Matching Biggest Common Factor Method

Now, list down the factors of 974

:

1,2,487,974

Now, list down the factors of 240

:

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 974,240 . The biggest common factor number is the GCF number.
So the greatest common factor 974,240 is 2.

Lets's calculate LCM of 45,7324

Lowest Common Multiple of 45,7324 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 329580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/329580

Therefore, the GCF of Fractions 974/45,240/7324 is 2/329580

Least Common Multiple of 45,7324 with GCF Formula

Least Common Multiple of 45,7324 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 45,7324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,7324) = 1

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

GCF(45,7324) x common factors =1 x 1 = 1

LCM(45,7324) = ( 45 × 7324 ) / 1

LCM(45,7324) = 329580 / 1

LCM(45,7324) = 329580


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FAQs on GCF of Fractions of 974/45, 240/7324

1. What is the HCF of 974,240?

The HCF of 974,240 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 974/45, 240/7324?

Answer: GCF of Numerators as per given numbers 974/45, 240/7324 is

GCF of Numerators i.e. for 974,240 is 2

LCM of denominators i.e. for 45,7324 is 329580.

Thus, GCF of Fractions is 2/329580.Finally, GCF of Fractions for 974/45, 240/7324 is 2/329580.