GCF of 6649/236, 6114/6082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6649/236, 6114/6082 i.e 1/717676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6649/236, 6114/6082.
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 6649/236,6114/6082?
Given fractions are 6649/236,6114/6082
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 6649/236,6114/6082, numerators are 6649,6114
Denominators are 236,6082
The GCF of 6649,6114 is 1 .
LCM of 236,6082 is 717676.
The greatest common factor of 6649/236,6114/6082 = [GCF of 6649,6114]/[LCM of 236,6082]= 1/717676
Therefore, the GCF of 6649/236,6114/6082 is 1/717676.
To find the highest common factor of 6649,6114, we have to find the factors of both numbers and list the highest common factor.
The factors of 6649 are 1, 61, 109, 6649
The factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114
The HCF of 6649,6114 is 1.
Lets's calculate GCF of 6649,6114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6649,6114 By Matching Biggest Common Factor Method
Now, list down the factors of 6649
:1,61,109,6649
Now, list down the factors of 6114
:1,2,3,6,1019,2038,3057,6114
Greatest Common Factor
We found the factors 6649,6114 . The biggest common factor number is the GCF number.
So the greatest common factor 6649,6114 is 1.
Lets's calculate LCM of 236,6082
| 2 | 236, 6082 |
| 118, 3041 |
∴ So the LCM of the given numbers is 2 x 118 x 3041 = 717676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717676
Therefore, the GCF of Fractions 6649/236,6114/6082 is 1/717676
Least Common Multiple of 236,6082 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 236,6082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,6082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,6082) x common factors =2 x 1 = 2
LCM(236,6082) = ( 236 × 6082 ) / 2
LCM(236,6082) = 1435352 / 2
LCM(236,6082) = 717676
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FAQs on GCF of Fractions of 6649/236, 6114/6082
1. What is the HCF of 6649,6114?
The HCF of 6649,6114 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 6649/236, 6114/6082?
Answer: GCF of Numerators as per given numbers 6649/236, 6114/6082 is
GCF of Numerators i.e. for 6649,6114 is 1
LCM of denominators i.e. for 236,6082 is 717676.
Thus, GCF of Fractions is 1/717676.Finally, GCF of Fractions for 6649/236, 6114/6082 is 1/717676.