How to Find GCF of 6989/982, 9418/9510?

GCF of 6989/982, 9418/9510

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 6989/982, 9418/9510 i.e 1/4669410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6989/982, 9418/9510.

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 6989/982,9418/9510?

Given fractions are 6989/982,9418/9510

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 6989/982,9418/9510, numerators are 6989,9418

Denominators are 982,9510

The GCF of 6989,9418 is 1 .

LCM of 982,9510 is 4669410.

The greatest common factor of 6989/982,9418/9510 = [GCF of 6989,9418]/[LCM of 982,9510]= 1/4669410

Therefore, the GCF of 6989/982,9418/9510 is 1/4669410.

Greatest Common Factor of 6989,9418

To find the highest common factor of 6989,9418, we have to find the factors of both numbers and list the highest common factor.

The factors of 6989 are 1, 29, 241, 6989

The factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418

The HCF of 6989,9418 is 1.

Lets's calculate GCF of 6989,9418

Greatest Common Factor (GCF) of 6989,9418 By Common Division

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

Greatest Common Factor of 6989,9418 By Matching Biggest Common Factor Method

Now, list down the factors of 6989

1,29,241,6989

Now, list down the factors of 9418

1,2,17,34,277,554,4709,9418

Greatest Common Factor

We found the factors 6989,9418 . The biggest common factor number is the GCF number.
So the greatest common factor 6989,9418 is 1.

Lets's calculate LCM of 982,9510

Lowest Common Multiple of 982,9510 using Common Division

2	982, 9510
	491, 4755

∴ So the LCM of the given numbers is 2 x 491 x 4755 = 4669410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4669410

Therefore, the GCF of Fractions 6989/982,9418/9510 is 1/4669410

Least Common Multiple of 982,9510 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 982,9510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,9510) = 2

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

GCF(982,9510) x common factors =2 x 1 = 2

LCM(982,9510) = ( 982 × 9510 ) / 2

LCM(982,9510) = 9338820 / 2

LCM(982,9510) = 4669410

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6989/982, 9418/9510

1. What is the HCF of 6989,9418?

The HCF of 6989,9418 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 6989/982, 9418/9510?

Answer: GCF of Numerators as per given numbers 6989/982, 9418/9510 is

GCF of Numerators i.e. for 6989,9418 is 1

LCM of denominators i.e. for 982,9510 is 4669410.

Thus, GCF of Fractions is 1/4669410.Finally, GCF of Fractions for 6989/982, 9418/9510 is 1/4669410.