How to Find GCF of 9962/224, 6781/3280?

GCF of 9962/224, 6781/3280

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 9962/224, 6781/3280 i.e 1/45920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9962/224, 6781/3280.

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 9962/224,6781/3280?

Given fractions are 9962/224,6781/3280

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 9962/224,6781/3280, numerators are 9962,6781

Denominators are 224,3280

The GCF of 9962,6781 is 1 .

LCM of 224,3280 is 45920.

The greatest common factor of 9962/224,6781/3280 = [GCF of 9962,6781]/[LCM of 224,3280]= 1/45920

Therefore, the GCF of 9962/224,6781/3280 is 1/45920.

Greatest Common Factor of 9962,6781

To find the highest common factor of 9962,6781, we have to find the factors of both numbers and list the highest common factor.

The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962

The factors of 6781 are 1, 6781

The HCF of 9962,6781 is 1.

Lets's calculate GCF of 9962,6781

Greatest Common Factor (GCF) of 9962,6781 By Common Division

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

Greatest Common Factor of 9962,6781 By Matching Biggest Common Factor Method

Now, list down the factors of 9962

1,2,17,34,293,586,4981,9962

Now, list down the factors of 6781

1,6781

Greatest Common Factor

We found the factors 9962,6781 . The biggest common factor number is the GCF number.
So the greatest common factor 9962,6781 is 1.

Lets's calculate LCM of 224,3280

Lowest Common Multiple of 224,3280 using Common Division

2	224, 3280
2	112, 1640
2	56, 820
2	28, 410
	14, 205

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 14 x 205 = 45920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45920

Therefore, the GCF of Fractions 9962/224,6781/3280 is 1/45920

Least Common Multiple of 224,3280 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 224,3280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,3280) = 16

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

GCF(224,3280) x common factors =16 x 1 = 16

LCM(224,3280) = ( 224 × 3280 ) / 16

LCM(224,3280) = 734720 / 16

LCM(224,3280) = 45920

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9962/224, 6781/3280

1. What is the HCF of 9962,6781?

The HCF of 9962,6781 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 9962/224, 6781/3280?

Answer: GCF of Numerators as per given numbers 9962/224, 6781/3280 is

GCF of Numerators i.e. for 9962,6781 is 1

LCM of denominators i.e. for 224,3280 is 45920.

Thus, GCF of Fractions is 1/45920.Finally, GCF of Fractions for 9962/224, 6781/3280 is 1/45920.