How to Find GCF of 6317/100, 2996/5602?

GCF of 6317/100, 2996/5602

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 6317/100, 2996/5602 i.e 1/280100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6317/100, 2996/5602.

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 6317/100,2996/5602?

Given fractions are 6317/100,2996/5602

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 6317/100,2996/5602, numerators are 6317,2996

Denominators are 100,5602

The GCF of 6317,2996 is 1 .

LCM of 100,5602 is 280100.

The greatest common factor of 6317/100,2996/5602 = [GCF of 6317,2996]/[LCM of 100,5602]= 1/280100

Therefore, the GCF of 6317/100,2996/5602 is 1/280100.

Greatest Common Factor of 6317,2996

To find the highest common factor of 6317,2996, we have to find the factors of both numbers and list the highest common factor.

The factors of 6317 are 1, 6317

The factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996

The HCF of 6317,2996 is 1.

Lets's calculate GCF of 6317,2996

Greatest Common Factor (GCF) of 6317,2996 By Common Division

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

Greatest Common Factor of 6317,2996 By Matching Biggest Common Factor Method

Now, list down the factors of 6317

1,6317

Now, list down the factors of 2996

1,2,4,7,14,28,107,214,428,749,1498,2996

Greatest Common Factor

We found the factors 6317,2996 . The biggest common factor number is the GCF number.
So the greatest common factor 6317,2996 is 1.

Lets's calculate LCM of 100,5602

Lowest Common Multiple of 100,5602 using Common Division

2	100, 5602
	50, 2801

∴ So the LCM of the given numbers is 2 x 50 x 2801 = 280100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280100

Therefore, the GCF of Fractions 6317/100,2996/5602 is 1/280100

Least Common Multiple of 100,5602 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 100,5602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,5602) = 2

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

GCF(100,5602) x common factors =2 x 1 = 2

LCM(100,5602) = ( 100 × 5602 ) / 2

LCM(100,5602) = 560200 / 2

LCM(100,5602) = 280100

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FAQs on GCF of Fractions of 6317/100, 2996/5602

1. What is the HCF of 6317,2996?

The HCF of 6317,2996 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 6317/100, 2996/5602?

Answer: GCF of Numerators as per given numbers 6317/100, 2996/5602 is

GCF of Numerators i.e. for 6317,2996 is 1

LCM of denominators i.e. for 100,5602 is 280100.

Thus, GCF of Fractions is 1/280100.Finally, GCF of Fractions for 6317/100, 2996/5602 is 1/280100.