How to Find GCF of 9470/681, 1649/1648?

GCF of 9470/681, 1649/1648

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 9470/681, 1649/1648 i.e 1/1122288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9470/681, 1649/1648.

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 9470/681,1649/1648?

Given fractions are 9470/681,1649/1648

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 9470/681,1649/1648, numerators are 9470,1649

Denominators are 681,1648

The GCF of 9470,1649 is 1 .

LCM of 681,1648 is 1122288.

The greatest common factor of 9470/681,1649/1648 = [GCF of 9470,1649]/[LCM of 681,1648]= 1/1122288

Therefore, the GCF of 9470/681,1649/1648 is 1/1122288.

Greatest Common Factor of 9470,1649

To find the highest common factor of 9470,1649, we have to find the factors of both numbers and list the highest common factor.

The factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470

The factors of 1649 are 1, 17, 97, 1649

The HCF of 9470,1649 is 1.

Lets's calculate GCF of 9470,1649

Greatest Common Factor (GCF) of 9470,1649 By Common Division

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

Greatest Common Factor of 9470,1649 By Matching Biggest Common Factor Method

Now, list down the factors of 9470

1,2,5,10,947,1894,4735,9470

Now, list down the factors of 1649

1,17,97,1649

Greatest Common Factor

We found the factors 9470,1649 . The biggest common factor number is the GCF number.
So the greatest common factor 9470,1649 is 1.

Lets's calculate LCM of 681,1648

Lowest Common Multiple of 681,1648 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1122288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1122288

Therefore, the GCF of Fractions 9470/681,1649/1648 is 1/1122288

Least Common Multiple of 681,1648 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 681,1648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,1648) = 1

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

GCF(681,1648) x common factors =1 x 1 = 1

LCM(681,1648) = ( 681 × 1648 ) / 1

LCM(681,1648) = 1122288 / 1

LCM(681,1648) = 1122288

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FAQs on GCF of Fractions of 9470/681, 1649/1648

1. What is the HCF of 9470,1649?

The HCF of 9470,1649 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 9470/681, 1649/1648?

Answer: GCF of Numerators as per given numbers 9470/681, 1649/1648 is

GCF of Numerators i.e. for 9470,1649 is 1

LCM of denominators i.e. for 681,1648 is 1122288.

Thus, GCF of Fractions is 1/1122288.Finally, GCF of Fractions for 9470/681, 1649/1648 is 1/1122288.