How to Find GCF of 1283/646, 1523/8948?

GCF of 1283/646, 1523/8948

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 1283/646, 1523/8948 i.e 1/2890204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1283/646, 1523/8948.

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 1283/646,1523/8948?

Given fractions are 1283/646,1523/8948

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 1283/646,1523/8948, numerators are 1283,1523

Denominators are 646,8948

The GCF of 1283,1523 is 1 .

LCM of 646,8948 is 2890204.

The greatest common factor of 1283/646,1523/8948 = [GCF of 1283,1523]/[LCM of 646,8948]= 1/2890204

Therefore, the GCF of 1283/646,1523/8948 is 1/2890204.

Greatest Common Factor of 1283,1523

To find the highest common factor of 1283,1523, we have to find the factors of both numbers and list the highest common factor.

The factors of 1283 are 1, 1283

The factors of 1523 are 1, 1523

The HCF of 1283,1523 is 1.

Lets's calculate GCF of 1283,1523

Greatest Common Factor (GCF) of 1283,1523 By Common Division

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

Greatest Common Factor of 1283,1523 By Matching Biggest Common Factor Method

Now, list down the factors of 1283

1,1283

Now, list down the factors of 1523

1,1523

Greatest Common Factor

We found the factors 1283,1523 . The biggest common factor number is the GCF number.
So the greatest common factor 1283,1523 is 1.

Lets's calculate LCM of 646,8948

Lowest Common Multiple of 646,8948 using Common Division

2	646, 8948
	323, 4474

∴ So the LCM of the given numbers is 2 x 323 x 4474 = 2890204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2890204

Therefore, the GCF of Fractions 1283/646,1523/8948 is 1/2890204

Least Common Multiple of 646,8948 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 646,8948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,8948) = 2

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

GCF(646,8948) x common factors =2 x 1 = 2

LCM(646,8948) = ( 646 × 8948 ) / 2

LCM(646,8948) = 5780408 / 2

LCM(646,8948) = 2890204

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FAQs on GCF of Fractions of 1283/646, 1523/8948

1. What is the HCF of 1283,1523?

The HCF of 1283,1523 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 1283/646, 1523/8948?

Answer: GCF of Numerators as per given numbers 1283/646, 1523/8948 is

GCF of Numerators i.e. for 1283,1523 is 1

LCM of denominators i.e. for 646,8948 is 2890204.

Thus, GCF of Fractions is 1/2890204.Finally, GCF of Fractions for 1283/646, 1523/8948 is 1/2890204.