How to Find GCF of 3593/942, 7775/8236?

GCF of 3593/942, 7775/8236

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 3593/942, 7775/8236 i.e 1/3879156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3593/942, 7775/8236.

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 3593/942,7775/8236?

Given fractions are 3593/942,7775/8236

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 3593/942,7775/8236, numerators are 3593,7775

Denominators are 942,8236

The GCF of 3593,7775 is 1 .

LCM of 942,8236 is 3879156.

The greatest common factor of 3593/942,7775/8236 = [GCF of 3593,7775]/[LCM of 942,8236]= 1/3879156

Therefore, the GCF of 3593/942,7775/8236 is 1/3879156.

Greatest Common Factor of 3593,7775

To find the highest common factor of 3593,7775, we have to find the factors of both numbers and list the highest common factor.

The factors of 3593 are 1, 3593

The factors of 7775 are 1, 5, 25, 311, 1555, 7775

The HCF of 3593,7775 is 1.

Lets's calculate GCF of 3593,7775

Greatest Common Factor (GCF) of 3593,7775 By Common Division

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

Greatest Common Factor of 3593,7775 By Matching Biggest Common Factor Method

Now, list down the factors of 3593

1,3593

Now, list down the factors of 7775

1,5,25,311,1555,7775

Greatest Common Factor

We found the factors 3593,7775 . The biggest common factor number is the GCF number.
So the greatest common factor 3593,7775 is 1.

Lets's calculate LCM of 942,8236

Lowest Common Multiple of 942,8236 using Common Division

2	942, 8236
	471, 4118

∴ So the LCM of the given numbers is 2 x 471 x 4118 = 3879156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3879156

Therefore, the GCF of Fractions 3593/942,7775/8236 is 1/3879156

Least Common Multiple of 942,8236 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 942,8236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,8236) = 2

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

GCF(942,8236) x common factors =2 x 1 = 2

LCM(942,8236) = ( 942 × 8236 ) / 2

LCM(942,8236) = 7758312 / 2

LCM(942,8236) = 3879156

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FAQs on GCF of Fractions of 3593/942, 7775/8236

1. What is the HCF of 3593,7775?

The HCF of 3593,7775 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 3593/942, 7775/8236?

Answer: GCF of Numerators as per given numbers 3593/942, 7775/8236 is

GCF of Numerators i.e. for 3593,7775 is 1

LCM of denominators i.e. for 942,8236 is 3879156.

Thus, GCF of Fractions is 1/3879156.Finally, GCF of Fractions for 3593/942, 7775/8236 is 1/3879156.