How to Find GCF of 1963/692, 8438/9620?

GCF of 1963/692, 8438/9620

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 1963/692, 8438/9620 i.e 1/1664260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1963/692, 8438/9620.

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 1963/692,8438/9620?

Given fractions are 1963/692,8438/9620

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 1963/692,8438/9620, numerators are 1963,8438

Denominators are 692,9620

The GCF of 1963,8438 is 1 .

LCM of 692,9620 is 1664260.

The greatest common factor of 1963/692,8438/9620 = [GCF of 1963,8438]/[LCM of 692,9620]= 1/1664260

Therefore, the GCF of 1963/692,8438/9620 is 1/1664260.

Greatest Common Factor of 1963,8438

To find the highest common factor of 1963,8438, we have to find the factors of both numbers and list the highest common factor.

The factors of 1963 are 1, 13, 151, 1963

The factors of 8438 are 1, 2, 4219, 8438

The HCF of 1963,8438 is 1.

Lets's calculate GCF of 1963,8438

Greatest Common Factor (GCF) of 1963,8438 By Common Division

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

Greatest Common Factor of 1963,8438 By Matching Biggest Common Factor Method

Now, list down the factors of 1963

1,13,151,1963

Now, list down the factors of 8438

1,2,4219,8438

Greatest Common Factor

We found the factors 1963,8438 . The biggest common factor number is the GCF number.
So the greatest common factor 1963,8438 is 1.

Lets's calculate LCM of 692,9620

Lowest Common Multiple of 692,9620 using Common Division

2	692, 9620
2	346, 4810
	173, 2405

∴ So the LCM of the given numbers is 2 x 2 x 173 x 2405 = 1664260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1664260

Therefore, the GCF of Fractions 1963/692,8438/9620 is 1/1664260

Least Common Multiple of 692,9620 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 692,9620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,9620) = 4

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

GCF(692,9620) x common factors =4 x 1 = 4

LCM(692,9620) = ( 692 × 9620 ) / 4

LCM(692,9620) = 6657040 / 4

LCM(692,9620) = 1664260

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FAQs on GCF of Fractions of 1963/692, 8438/9620

1. What is the HCF of 1963,8438?

The HCF of 1963,8438 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 1963/692, 8438/9620?

Answer: GCF of Numerators as per given numbers 1963/692, 8438/9620 is

GCF of Numerators i.e. for 1963,8438 is 1

LCM of denominators i.e. for 692,9620 is 1664260.

Thus, GCF of Fractions is 1/1664260.Finally, GCF of Fractions for 1963/692, 8438/9620 is 1/1664260.