GCF of 637/614, 4236/617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/614, 4236/617 i.e 1/378838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/614, 4236/617.
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 637/614,4236/617?
Given fractions are 637/614,4236/617
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 637/614,4236/617, numerators are 637,4236
Denominators are 614,617
The GCF of 637,4236 is 1 .
LCM of 614,617 is 378838.
The greatest common factor of 637/614,4236/617 = [GCF of 637,4236]/[LCM of 614,617]= 1/378838
Therefore, the GCF of 637/614,4236/617 is 1/378838.
To find the highest common factor of 637,4236, 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 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236
The HCF of 637,4236 is 1.
Lets's calculate GCF of 637,4236
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 637,4236 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 4236
:1,2,3,4,6,12,353,706,1059,1412,2118,4236
Greatest Common Factor
We found the factors 637,4236 . The biggest common factor number is the GCF number.
So the greatest common factor 637,4236 is 1.
Lets's calculate LCM of 614,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 378838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378838
Therefore, the GCF of Fractions 637/614,4236/617 is 1/378838
Least Common Multiple of 614,617 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 614,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,617) x common factors =1 x 1 = 1
LCM(614,617) = ( 614 × 617 ) / 1
LCM(614,617) = 378838 / 1
LCM(614,617) = 378838
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 637/614, 4236/617
1. What is the HCF of 637,4236?
The HCF of 637,4236 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 637/614, 4236/617?
Answer: GCF of Numerators as per given numbers 637/614, 4236/617 is
GCF of Numerators i.e. for 637,4236 is 1
LCM of denominators i.e. for 614,617 is 378838.
Thus, GCF of Fractions is 1/378838.Finally, GCF of Fractions for 637/614, 4236/617 is 1/378838.