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GCF of 989/10, 675/9414

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 989/10, 675/9414 i.e 1/47070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 989/10, 675/9414.

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 989/10,675/9414?

Given fractions are 989/10,675/9414

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 989/10,675/9414, numerators are 989,675

Denominators are 10,9414

The GCF of 989,675 is 1 .

LCM of 10,9414 is 47070.

The greatest common factor of 989/10,675/9414 = [GCF of 989,675]/[LCM of 10,9414]= 1/47070

Therefore, the GCF of 989/10,675/9414 is 1/47070.

Greatest Common Factor of 989,675

To find the highest common factor of 989,675, we have to find the factors of both numbers and list the highest common factor.

The factors of 989 are 1, 23, 43, 989

The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

The HCF of 989,675 is 1.

Lets's calculate GCF of 989,675

Greatest Common Factor (GCF) of 989,675 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 989,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,675 By Matching Biggest Common Factor Method

Now, list down the factors of 989

:

1,23,43,989

Now, list down the factors of 675

:

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 989,675 . The biggest common factor number is the GCF number.
So the greatest common factor 989,675 is 1.

Lets's calculate LCM of 10,9414

Lowest Common Multiple of 10,9414 using Common Division

2 10, 9414
5, 4707

∴ So the LCM of the given numbers is 2 x 5 x 4707 = 47070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47070

Therefore, the GCF of Fractions 989/10,675/9414 is 1/47070

Least Common Multiple of 10,9414 with GCF Formula

Least Common Multiple of 10,9414 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 10,9414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,9414) = 2

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

GCF(10,9414) x common factors =2 x 1 = 2

LCM(10,9414) = ( 10 × 9414 ) / 2

LCM(10,9414) = 94140 / 2

LCM(10,9414) = 47070


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FAQs on GCF of Fractions of 989/10, 675/9414

1. What is the HCF of 989,675?

The HCF of 989,675 is 1

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 989/10, 675/9414?

Answer: GCF of Numerators as per given numbers 989/10, 675/9414 is

GCF of Numerators i.e. for 989,675 is 1

LCM of denominators i.e. for 10,9414 is 47070.

Thus, GCF of Fractions is 1/47070.Finally, GCF of Fractions for 989/10, 675/9414 is 1/47070.