How to Find GCF of 610/55, 630/8524?

GCF of 610/55, 630/8524

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 610/55, 630/8524 i.e 10/468820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/55, 630/8524.

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 610/55,630/8524?

Given fractions are 610/55,630/8524

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 610/55,630/8524, numerators are 610,630

Denominators are 55,8524

The GCF of 610,630 is 10 .

LCM of 55,8524 is 468820.

The greatest common factor of 610/55,630/8524 = [GCF of 610,630]/[LCM of 55,8524]= 10/468820

Therefore, the GCF of 610/55,630/8524 is 10/468820.

Greatest Common Factor of 610,630

To find the highest common factor of 610,630, we have to find the factors of both numbers and list the highest common factor.

The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610

The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

The HCF of 610,630 is 10.

Lets's calculate GCF of 610,630

Greatest Common Factor (GCF) of 610,630 By Common Division

2	610, 630
5	305, 315
	61, 63

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 610,630 By Matching Biggest Common Factor Method

Now, list down the factors of 610

1,2,5,10,61,122,305,610

Now, list down the factors of 630

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 610,630 . The biggest common factor number is the GCF number.
So the greatest common factor 610,630 is 10.

Lets's calculate LCM of 55,8524

Lowest Common Multiple of 55,8524 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 468820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/468820

Therefore, the GCF of Fractions 610/55,630/8524 is 10/468820

Least Common Multiple of 55,8524 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 55,8524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,8524) = 1

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

GCF(55,8524) x common factors =1 x 1 = 1

LCM(55,8524) = ( 55 × 8524 ) / 1

LCM(55,8524) = 468820 / 1

LCM(55,8524) = 468820

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FAQs on GCF of Fractions of 610/55, 630/8524

1. What is the HCF of 610,630?

The HCF of 610,630 is 10

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 610/55, 630/8524?

Answer: GCF of Numerators as per given numbers 610/55, 630/8524 is

GCF of Numerators i.e. for 610,630 is 10

LCM of denominators i.e. for 55,8524 is 468820.

Thus, GCF of Fractions is 10/468820.Finally, GCF of Fractions for 610/55, 630/8524 is 10/468820.