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GCF of 632/49, 580/970

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 632/49, 580/970 i.e 4/47530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/49, 580/970.

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 632/49,580/970?

Given fractions are 632/49,580/970

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 632/49,580/970, numerators are 632,580

Denominators are 49,970

The GCF of 632,580 is 4 .

LCM of 49,970 is 47530.

The greatest common factor of 632/49,580/970 = [GCF of 632,580]/[LCM of 49,970]= 4/47530

Therefore, the GCF of 632/49,580/970 is 4/47530.

Greatest Common Factor of 632,580

To find the highest common factor of 632,580, we have to find the factors of both numbers and list the highest common factor.

The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

The HCF of 632,580 is 4.

Lets's calculate GCF of 632,580

Greatest Common Factor (GCF) of 632,580 By Common Division

2 632, 580
2 316, 290
158, 145

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

Greatest Common Factor of 632,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,580 By Matching Biggest Common Factor Method

Now, list down the factors of 632

:

1,2,4,8,79,158,316,632

Now, list down the factors of 580

:

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 632,580 . The biggest common factor number is the GCF number.
So the greatest common factor 632,580 is 4.

Lets's calculate LCM of 49,970

Lowest Common Multiple of 49,970 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 47530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/47530

Therefore, the GCF of Fractions 632/49,580/970 is 4/47530

Least Common Multiple of 49,970 with GCF Formula

Least Common Multiple of 49,970 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 49,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,970) = 1

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

GCF(49,970) x common factors =1 x 1 = 1

LCM(49,970) = ( 49 × 970 ) / 1

LCM(49,970) = 47530 / 1

LCM(49,970) = 47530


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FAQs on GCF of Fractions of 632/49, 580/970

1. What is the HCF of 632,580?

The HCF of 632,580 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 632/49, 580/970?

Answer: GCF of Numerators as per given numbers 632/49, 580/970 is

GCF of Numerators i.e. for 632,580 is 4

LCM of denominators i.e. for 49,970 is 47530.

Thus, GCF of Fractions is 4/47530.Finally, GCF of Fractions for 632/49, 580/970 is 4/47530.