How to Find GCF of 43/10, 89/64, 207/792?

GCF of 43/10, 89/64, 207/792

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 43/10, 89/64, 207/792 i.e 1/31680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/10, 89/64, 207/792.

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 43/10,89/64,207/792?

Given fractions are 43/10,89/64,207/792

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 43/10,89/64,207/792, numerators are 43,89,207

Denominators are 10,64,792

The GCF of 43,89,207 is 1 .

LCM of 10,64,792 is 31680.

The greatest common factor of 43/10,89/64,207/792 = [GCF of 43,89,207]/[LCM of 10,64,792]= 1/31680

Therefore, the GCF of 43/10,89/64,207/792 is 1/31680.

Greatest Common Factor of 43,89,207

To find the highest common factor of 43,89,207, we have to find the factors of both numbers and list the highest common factor.

The factors of 43 are 1, 43

The factors of 89 are 1, 89

The factors of 207 are 1, 3, 9, 23, 69, 207

The HCF of 43,89,207 is 1.

Lets's calculate GCF of 43,89,207

Greatest Common Factor (GCF) of 43,89,207 By Common Division

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

Greatest Common Factor of 43,89,207 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 89

1,89

Now, list down the factors of 207

1,3,9,23,69,207

Greatest Common Factor

We found the factors 43,89,207 . The biggest common factor number is the GCF number.
So the greatest common factor 43,89,207 is 1.

Lets's calculate LCM of 10,64,792

Lowest Common Multiple of 10,64,792 using Common Division

2	10, 64, 792
2	5, 32, 396
2	5, 16, 198
	5, 8, 99

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 8 x 99 = 31680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31680

Therefore, the GCF of Fractions 43/10,89/64,207/792 is 1/31680

Least Common Multiple of 10,64,792 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 10,64,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,64,792) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(10,64,792) x common factors =2 x 8 = 16

LCM(10,64,792) = ( 10 × 64 × 792 ) / 16

LCM(10,64,792) = 506880 / 16

LCM(10,64,792) = 31680

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FAQs on GCF of Fractions of 43/10, 89/64, 207/792

1. What is the HCF of 43,89,207?

The HCF of 43,89,207 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 43/10, 89/64, 207/792?

Answer: GCF of Numerators as per given numbers 43/10, 89/64, 207/792 is

GCF of Numerators i.e. for 43,89,207 is 1

LCM of denominators i.e. for 10,64,792 is 31680.

Thus, GCF of Fractions is 1/31680.Finally, GCF of Fractions for 43/10, 89/64, 207/792 is 1/31680.