GCF of 6136/759, 8774/3014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6136/759, 8774/3014 i.e 2/207966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6136/759, 8774/3014.
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 6136/759,8774/3014?
Given fractions are 6136/759,8774/3014
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 6136/759,8774/3014, numerators are 6136,8774
Denominators are 759,3014
The GCF of 6136,8774 is 2 .
LCM of 759,3014 is 207966.
The greatest common factor of 6136/759,8774/3014 = [GCF of 6136,8774]/[LCM of 759,3014]= 2/207966
Therefore, the GCF of 6136/759,8774/3014 is 2/207966.
To find the highest common factor of 6136,8774, 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 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774
The HCF of 6136,8774 is 2.
Lets's calculate GCF of 6136,8774
| 2 | 6136, 8774 |
| 3068, 4387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6136,8774 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 8774
:1,2,41,82,107,214,4387,8774
Greatest Common Factor
We found the factors 6136,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 6136,8774 is 2.
Lets's calculate LCM of 759,3014
| 11 | 759, 3014 |
| 69, 274 |
∴ So the LCM of the given numbers is 11 x 69 x 274 = 207966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/207966
Therefore, the GCF of Fractions 6136/759,8774/3014 is 2/207966
Least Common Multiple of 759,3014 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 759,3014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,3014) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(759,3014) x common factors =11 x 1 = 11
LCM(759,3014) = ( 759 × 3014 ) / 11
LCM(759,3014) = 2287626 / 11
LCM(759,3014) = 207966
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FAQs on GCF of Fractions of 6136/759, 8774/3014
1. What is the HCF of 6136,8774?
The HCF of 6136,8774 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 6136/759, 8774/3014?
Answer: GCF of Numerators as per given numbers 6136/759, 8774/3014 is
GCF of Numerators i.e. for 6136,8774 is 2
LCM of denominators i.e. for 759,3014 is 207966.
Thus, GCF of Fractions is 2/207966.Finally, GCF of Fractions for 6136/759, 8774/3014 is 2/207966.