GCF of 6136/158, 1162/8622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6136/158, 1162/8622 i.e 2/681138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6136/158, 1162/8622.
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 6136/158,1162/8622?
Given fractions are 6136/158,1162/8622
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 6136/158,1162/8622, numerators are 6136,1162
Denominators are 158,8622
The GCF of 6136,1162 is 2 .
LCM of 158,8622 is 681138.
The greatest common factor of 6136/158,1162/8622 = [GCF of 6136,1162]/[LCM of 158,8622]= 2/681138
Therefore, the GCF of 6136/158,1162/8622 is 2/681138.
To find the highest common factor of 6136,1162, we have to find the factors of both numbers and list the highest common factor.
The factors of 6136 are 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136
The factors of 1162 are 1, 2, 7, 14, 83, 166, 581, 1162
The HCF of 6136,1162 is 2.
Lets's calculate GCF of 6136,1162
| 2 | 6136, 1162 |
| 3068, 581 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6136,1162 By Matching Biggest Common Factor Method
Now, list down the factors of 6136
:1,2,4,8,13,26,52,59,104,118,236,472,767,1534,3068,6136
Now, list down the factors of 1162
:1,2,7,14,83,166,581,1162
Greatest Common Factor
We found the factors 6136,1162 . The biggest common factor number is the GCF number.
So the greatest common factor 6136,1162 is 2.
Lets's calculate LCM of 158,8622
| 2 | 158, 8622 |
| 79, 4311 |
∴ So the LCM of the given numbers is 2 x 79 x 4311 = 681138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/681138
Therefore, the GCF of Fractions 6136/158,1162/8622 is 2/681138
Least Common Multiple of 158,8622 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 158,8622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,8622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,8622) x common factors =2 x 1 = 2
LCM(158,8622) = ( 158 × 8622 ) / 2
LCM(158,8622) = 1362276 / 2
LCM(158,8622) = 681138
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FAQs on GCF of Fractions of 6136/158, 1162/8622
1. What is the HCF of 6136,1162?
The HCF of 6136,1162 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 6136/158, 1162/8622?
Answer: GCF of Numerators as per given numbers 6136/158, 1162/8622 is
GCF of Numerators i.e. for 6136,1162 is 2
LCM of denominators i.e. for 158,8622 is 681138.
Thus, GCF of Fractions is 2/681138.Finally, GCF of Fractions for 6136/158, 1162/8622 is 2/681138.