How to Find GCF of 630/95, 878/8413?

GCF of 630/95, 878/8413

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 630/95, 878/8413 i.e 2/799235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/95, 878/8413.

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 630/95,878/8413?

Given fractions are 630/95,878/8413

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 630/95,878/8413, numerators are 630,878

Denominators are 95,8413

The GCF of 630,878 is 2 .

LCM of 95,8413 is 799235.

The greatest common factor of 630/95,878/8413 = [GCF of 630,878]/[LCM of 95,8413]= 2/799235

Therefore, the GCF of 630/95,878/8413 is 2/799235.

Greatest Common Factor of 630,878

To find the highest common factor of 630,878, we have to find the factors of both numbers and list the highest common factor.

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 factors of 878 are 1, 2, 439, 878

The HCF of 630,878 is 2.

Lets's calculate GCF of 630,878

Greatest Common Factor (GCF) of 630,878 By Common Division

2	630, 878
	315, 439

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

Greatest Common Factor of 630,878 By Matching Biggest Common Factor Method

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

Now, list down the factors of 878

1,2,439,878

Greatest Common Factor

We found the factors 630,878 . The biggest common factor number is the GCF number.
So the greatest common factor 630,878 is 2.

Lets's calculate LCM of 95,8413

Lowest Common Multiple of 95,8413 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 799235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/799235

Therefore, the GCF of Fractions 630/95,878/8413 is 2/799235

Least Common Multiple of 95,8413 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 95,8413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,8413) = 1

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

GCF(95,8413) x common factors =1 x 1 = 1

LCM(95,8413) = ( 95 × 8413 ) / 1

LCM(95,8413) = 799235 / 1

LCM(95,8413) = 799235

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FAQs on GCF of Fractions of 630/95, 878/8413

1. What is the HCF of 630,878?

The HCF of 630,878 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 630/95, 878/8413?

Answer: GCF of Numerators as per given numbers 630/95, 878/8413 is

GCF of Numerators i.e. for 630,878 is 2

LCM of denominators i.e. for 95,8413 is 799235.

Thus, GCF of Fractions is 2/799235.Finally, GCF of Fractions for 630/95, 878/8413 is 2/799235.