How to Find GCF of 8603/978, 4044/8532?

GCF of 8603/978, 4044/8532

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 8603/978, 4044/8532 i.e 1/1390716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8603/978, 4044/8532.

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 8603/978,4044/8532?

Given fractions are 8603/978,4044/8532

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 8603/978,4044/8532, numerators are 8603,4044

Denominators are 978,8532

The GCF of 8603,4044 is 1 .

LCM of 978,8532 is 1390716.

The greatest common factor of 8603/978,4044/8532 = [GCF of 8603,4044]/[LCM of 978,8532]= 1/1390716

Therefore, the GCF of 8603/978,4044/8532 is 1/1390716.

Greatest Common Factor of 8603,4044

To find the highest common factor of 8603,4044, we have to find the factors of both numbers and list the highest common factor.

The factors of 8603 are 1, 7, 1229, 8603

The factors of 4044 are 1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044

The HCF of 8603,4044 is 1.

Lets's calculate GCF of 8603,4044

Greatest Common Factor (GCF) of 8603,4044 By Common Division

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

Greatest Common Factor of 8603,4044 By Matching Biggest Common Factor Method

Now, list down the factors of 8603

1,7,1229,8603

Now, list down the factors of 4044

1,2,3,4,6,12,337,674,1011,1348,2022,4044

Greatest Common Factor

We found the factors 8603,4044 . The biggest common factor number is the GCF number.
So the greatest common factor 8603,4044 is 1.

Lets's calculate LCM of 978,8532

Lowest Common Multiple of 978,8532 using Common Division

2	978, 8532
3	489, 4266
	163, 1422

∴ So the LCM of the given numbers is 2 x 3 x 163 x 1422 = 1390716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1390716

Therefore, the GCF of Fractions 8603/978,4044/8532 is 1/1390716

Least Common Multiple of 978,8532 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 978,8532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,8532) = 6

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

GCF(978,8532) x common factors =6 x 1 = 6

LCM(978,8532) = ( 978 × 8532 ) / 6

LCM(978,8532) = 8344296 / 6

LCM(978,8532) = 1390716

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8603/978, 4044/8532

1. What is the HCF of 8603,4044?

The HCF of 8603,4044 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 8603/978, 4044/8532?

Answer: GCF of Numerators as per given numbers 8603/978, 4044/8532 is

GCF of Numerators i.e. for 8603,4044 is 1

LCM of denominators i.e. for 978,8532 is 1390716.

Thus, GCF of Fractions is 1/1390716.Finally, GCF of Fractions for 8603/978, 4044/8532 is 1/1390716.