GCF of 637/596, 3900/2731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/596, 3900/2731 i.e 13/1627676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/596, 3900/2731.
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 637/596,3900/2731?
Given fractions are 637/596,3900/2731
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 637/596,3900/2731, numerators are 637,3900
Denominators are 596,2731
The GCF of 637,3900 is 13 .
LCM of 596,2731 is 1627676.
The greatest common factor of 637/596,3900/2731 = [GCF of 637,3900]/[LCM of 596,2731]= 13/1627676
Therefore, the GCF of 637/596,3900/2731 is 13/1627676.
To find the highest common factor of 637,3900, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900
The HCF of 637,3900 is 13.
Lets's calculate GCF of 637,3900
| 13 | 637, 3900 |
| 49, 300 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 637,3900 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 3900
:1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900
Greatest Common Factor
We found the factors 637,3900 . The biggest common factor number is the GCF number.
So the greatest common factor 637,3900 is 13.
Lets's calculate LCM of 596,2731
Given numbers has no common factors except 1. So, there LCM is their product i.e 1627676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1627676
Therefore, the GCF of Fractions 637/596,3900/2731 is 13/1627676
Least Common Multiple of 596,2731 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 596,2731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,2731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,2731) x common factors =1 x 1 = 1
LCM(596,2731) = ( 596 × 2731 ) / 1
LCM(596,2731) = 1627676 / 1
LCM(596,2731) = 1627676
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FAQs on GCF of Fractions of 637/596, 3900/2731
1. What is the HCF of 637,3900?
The HCF of 637,3900 is 13
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 637/596, 3900/2731?
Answer: GCF of Numerators as per given numbers 637/596, 3900/2731 is
GCF of Numerators i.e. for 637,3900 is 13
LCM of denominators i.e. for 596,2731 is 1627676.
Thus, GCF of Fractions is 13/1627676.Finally, GCF of Fractions for 637/596, 3900/2731 is 13/1627676.