How to Find GCF of 1248/597, 8579/5741?

GCF of 1248/597, 8579/5741

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 1248/597, 8579/5741 i.e 1/3427377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1248/597, 8579/5741.

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 1248/597,8579/5741?

Given fractions are 1248/597,8579/5741

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 1248/597,8579/5741, numerators are 1248,8579

Denominators are 597,5741

The GCF of 1248,8579 is 1 .

LCM of 597,5741 is 3427377.

The greatest common factor of 1248/597,8579/5741 = [GCF of 1248,8579]/[LCM of 597,5741]= 1/3427377

Therefore, the GCF of 1248/597,8579/5741 is 1/3427377.

Greatest Common Factor of 1248,8579

To find the highest common factor of 1248,8579, we have to find the factors of both numbers and list the highest common factor.

The factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248

The factors of 8579 are 1, 23, 373, 8579

The HCF of 1248,8579 is 1.

Lets's calculate GCF of 1248,8579

Greatest Common Factor (GCF) of 1248,8579 By Common Division

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

Greatest Common Factor of 1248,8579 By Matching Biggest Common Factor Method

Now, list down the factors of 1248

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,208,312,416,624,1248

Now, list down the factors of 8579

1,23,373,8579

Greatest Common Factor

We found the factors 1248,8579 . The biggest common factor number is the GCF number.
So the greatest common factor 1248,8579 is 1.

Lets's calculate LCM of 597,5741

Lowest Common Multiple of 597,5741 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3427377

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3427377

Therefore, the GCF of Fractions 1248/597,8579/5741 is 1/3427377

Least Common Multiple of 597,5741 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 597,5741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,5741) = 1

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

GCF(597,5741) x common factors =1 x 1 = 1

LCM(597,5741) = ( 597 × 5741 ) / 1

LCM(597,5741) = 3427377 / 1

LCM(597,5741) = 3427377

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FAQs on GCF of Fractions of 1248/597, 8579/5741

1. What is the HCF of 1248,8579?

The HCF of 1248,8579 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 1248/597, 8579/5741?

Answer: GCF of Numerators as per given numbers 1248/597, 8579/5741 is

GCF of Numerators i.e. for 1248,8579 is 1

LCM of denominators i.e. for 597,5741 is 3427377.

Thus, GCF of Fractions is 1/3427377.Finally, GCF of Fractions for 1248/597, 8579/5741 is 1/3427377.