GCF of 6127/938, 6226/5060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6127/938, 6226/5060 i.e 11/2373140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6127/938, 6226/5060.
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 6127/938,6226/5060?
Given fractions are 6127/938,6226/5060
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 6127/938,6226/5060, numerators are 6127,6226
Denominators are 938,5060
The GCF of 6127,6226 is 11 .
LCM of 938,5060 is 2373140.
The greatest common factor of 6127/938,6226/5060 = [GCF of 6127,6226]/[LCM of 938,5060]= 11/2373140
Therefore, the GCF of 6127/938,6226/5060 is 11/2373140.
To find the highest common factor of 6127,6226, we have to find the factors of both numbers and list the highest common factor.
The factors of 6127 are 1, 11, 557, 6127
The factors of 6226 are 1, 2, 11, 22, 283, 566, 3113, 6226
The HCF of 6127,6226 is 11.
Lets's calculate GCF of 6127,6226
| 11 | 6127, 6226 |
| 557, 566 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6127,6226 By Matching Biggest Common Factor Method
Now, list down the factors of 6127
:1,11,557,6127
Now, list down the factors of 6226
:1,2,11,22,283,566,3113,6226
Greatest Common Factor
We found the factors 6127,6226 . The biggest common factor number is the GCF number.
So the greatest common factor 6127,6226 is 11.
Lets's calculate LCM of 938,5060
| 2 | 938, 5060 |
| 469, 2530 |
∴ So the LCM of the given numbers is 2 x 469 x 2530 = 2373140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2373140
Therefore, the GCF of Fractions 6127/938,6226/5060 is 11/2373140
Least Common Multiple of 938,5060 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 938,5060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,5060) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,5060) x common factors =2 x 1 = 2
LCM(938,5060) = ( 938 × 5060 ) / 2
LCM(938,5060) = 4746280 / 2
LCM(938,5060) = 2373140
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FAQs on GCF of Fractions of 6127/938, 6226/5060
1. What is the HCF of 6127,6226?
The HCF of 6127,6226 is 11
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 6127/938, 6226/5060?
Answer: GCF of Numerators as per given numbers 6127/938, 6226/5060 is
GCF of Numerators i.e. for 6127,6226 is 11
LCM of denominators i.e. for 938,5060 is 2373140.
Thus, GCF of Fractions is 11/2373140.Finally, GCF of Fractions for 6127/938, 6226/5060 is 11/2373140.