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GCF of 604/74, 940/910

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 604/74, 940/910 i.e 4/33670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 604/74, 940/910.

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 604/74,940/910?

Given fractions are 604/74,940/910

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 604/74,940/910, numerators are 604,940

Denominators are 74,910

The GCF of 604,940 is 4 .

LCM of 74,910 is 33670.

The greatest common factor of 604/74,940/910 = [GCF of 604,940]/[LCM of 74,910]= 4/33670

Therefore, the GCF of 604/74,940/910 is 4/33670.

Greatest Common Factor of 604,940

To find the highest common factor of 604,940, we have to find the factors of both numbers and list the highest common factor.

The factors of 604 are 1, 2, 4, 151, 302, 604

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The HCF of 604,940 is 4.

Lets's calculate GCF of 604,940

Greatest Common Factor (GCF) of 604,940 By Common Division

2 604, 940
2 302, 470
151, 235

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 604,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,940 By Matching Biggest Common Factor Method

Now, list down the factors of 604

:

1,2,4,151,302,604

Now, list down the factors of 940

:

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 604,940 . The biggest common factor number is the GCF number.
So the greatest common factor 604,940 is 4.

Lets's calculate LCM of 74,910

Lowest Common Multiple of 74,910 using Common Division

2 74, 910
37, 455

∴ So the LCM of the given numbers is 2 x 37 x 455 = 33670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/33670

Therefore, the GCF of Fractions 604/74,940/910 is 4/33670

Least Common Multiple of 74,910 with GCF Formula

Least Common Multiple of 74,910 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 74,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,910) = 2

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

GCF(74,910) x common factors =2 x 1 = 2

LCM(74,910) = ( 74 × 910 ) / 2

LCM(74,910) = 67340 / 2

LCM(74,910) = 33670


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FAQs on GCF of Fractions of 604/74, 940/910

1. What is the HCF of 604,940?

The HCF of 604,940 is 4

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 604/74, 940/910?

Answer: GCF of Numerators as per given numbers 604/74, 940/910 is

GCF of Numerators i.e. for 604,940 is 4

LCM of denominators i.e. for 74,910 is 33670.

Thus, GCF of Fractions is 4/33670.Finally, GCF of Fractions for 604/74, 940/910 is 4/33670.