GCF of 2635/106, 6258/8439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2635/106, 6258/8439 i.e 1/894534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2635/106, 6258/8439.
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 2635/106,6258/8439?
Given fractions are 2635/106,6258/8439
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 2635/106,6258/8439, numerators are 2635,6258
Denominators are 106,8439
The GCF of 2635,6258 is 1 .
LCM of 106,8439 is 894534.
The greatest common factor of 2635/106,6258/8439 = [GCF of 2635,6258]/[LCM of 106,8439]= 1/894534
Therefore, the GCF of 2635/106,6258/8439 is 1/894534.
To find the highest common factor of 2635,6258, we have to find the factors of both numbers and list the highest common factor.
The factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635
The factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258
The HCF of 2635,6258 is 1.
Lets's calculate GCF of 2635,6258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2635,6258 By Matching Biggest Common Factor Method
Now, list down the factors of 2635
:1,5,17,31,85,155,527,2635
Now, list down the factors of 6258
:1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258
Greatest Common Factor
We found the factors 2635,6258 . The biggest common factor number is the GCF number.
So the greatest common factor 2635,6258 is 1.
Lets's calculate LCM of 106,8439
Given numbers has no common factors except 1. So, there LCM is their product i.e 894534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894534
Therefore, the GCF of Fractions 2635/106,6258/8439 is 1/894534
Least Common Multiple of 106,8439 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 106,8439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,8439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,8439) x common factors =1 x 1 = 1
LCM(106,8439) = ( 106 × 8439 ) / 1
LCM(106,8439) = 894534 / 1
LCM(106,8439) = 894534
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FAQs on GCF of Fractions of 2635/106, 6258/8439
1. What is the HCF of 2635,6258?
The HCF of 2635,6258 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 2635/106, 6258/8439?
Answer: GCF of Numerators as per given numbers 2635/106, 6258/8439 is
GCF of Numerators i.e. for 2635,6258 is 1
LCM of denominators i.e. for 106,8439 is 894534.
Thus, GCF of Fractions is 1/894534.Finally, GCF of Fractions for 2635/106, 6258/8439 is 1/894534.