GCF of 6266/157, 5188/3456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6266/157, 5188/3456 i.e 2/542592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6266/157, 5188/3456.
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 6266/157,5188/3456?
Given fractions are 6266/157,5188/3456
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 6266/157,5188/3456, numerators are 6266,5188
Denominators are 157,3456
The GCF of 6266,5188 is 2 .
LCM of 157,3456 is 542592.
The greatest common factor of 6266/157,5188/3456 = [GCF of 6266,5188]/[LCM of 157,3456]= 2/542592
Therefore, the GCF of 6266/157,5188/3456 is 2/542592.
To find the highest common factor of 6266,5188, we have to find the factors of both numbers and list the highest common factor.
The factors of 6266 are 1, 2, 13, 26, 241, 482, 3133, 6266
The factors of 5188 are 1, 2, 4, 1297, 2594, 5188
The HCF of 6266,5188 is 2.
Lets's calculate GCF of 6266,5188
| 2 | 6266, 5188 |
| 3133, 2594 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6266,5188 By Matching Biggest Common Factor Method
Now, list down the factors of 6266
:1,2,13,26,241,482,3133,6266
Now, list down the factors of 5188
:1,2,4,1297,2594,5188
Greatest Common Factor
We found the factors 6266,5188 . The biggest common factor number is the GCF number.
So the greatest common factor 6266,5188 is 2.
Lets's calculate LCM of 157,3456
Given numbers has no common factors except 1. So, there LCM is their product i.e 542592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/542592
Therefore, the GCF of Fractions 6266/157,5188/3456 is 2/542592
Least Common Multiple of 157,3456 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 157,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,3456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,3456) x common factors =1 x 1 = 1
LCM(157,3456) = ( 157 × 3456 ) / 1
LCM(157,3456) = 542592 / 1
LCM(157,3456) = 542592
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FAQs on GCF of Fractions of 6266/157, 5188/3456
1. What is the HCF of 6266,5188?
The HCF of 6266,5188 is 2
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 6266/157, 5188/3456?
Answer: GCF of Numerators as per given numbers 6266/157, 5188/3456 is
GCF of Numerators i.e. for 6266,5188 is 2
LCM of denominators i.e. for 157,3456 is 542592.
Thus, GCF of Fractions is 2/542592.Finally, GCF of Fractions for 6266/157, 5188/3456 is 2/542592.