GCF of 5011/156, 3702/7138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5011/156, 3702/7138 i.e 1/556764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5011/156, 3702/7138.
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 5011/156,3702/7138?
Given fractions are 5011/156,3702/7138
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 5011/156,3702/7138, numerators are 5011,3702
Denominators are 156,7138
The GCF of 5011,3702 is 1 .
LCM of 156,7138 is 556764.
The greatest common factor of 5011/156,3702/7138 = [GCF of 5011,3702]/[LCM of 156,7138]= 1/556764
Therefore, the GCF of 5011/156,3702/7138 is 1/556764.
To find the highest common factor of 5011,3702, we have to find the factors of both numbers and list the highest common factor.
The factors of 5011 are 1, 5011
The factors of 3702 are 1, 2, 3, 6, 617, 1234, 1851, 3702
The HCF of 5011,3702 is 1.
Lets's calculate GCF of 5011,3702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5011,3702 By Matching Biggest Common Factor Method
Now, list down the factors of 5011
:1,5011
Now, list down the factors of 3702
:1,2,3,6,617,1234,1851,3702
Greatest Common Factor
We found the factors 5011,3702 . The biggest common factor number is the GCF number.
So the greatest common factor 5011,3702 is 1.
Lets's calculate LCM of 156,7138
| 2 | 156, 7138 |
| 78, 3569 |
∴ So the LCM of the given numbers is 2 x 78 x 3569 = 556764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/556764
Therefore, the GCF of Fractions 5011/156,3702/7138 is 1/556764
Least Common Multiple of 156,7138 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 156,7138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,7138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(156,7138) x common factors =2 x 1 = 2
LCM(156,7138) = ( 156 × 7138 ) / 2
LCM(156,7138) = 1113528 / 2
LCM(156,7138) = 556764
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FAQs on GCF of Fractions of 5011/156, 3702/7138
1. What is the HCF of 5011,3702?
The HCF of 5011,3702 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 5011/156, 3702/7138?
Answer: GCF of Numerators as per given numbers 5011/156, 3702/7138 is
GCF of Numerators i.e. for 5011,3702 is 1
LCM of denominators i.e. for 156,7138 is 556764.
Thus, GCF of Fractions is 1/556764.Finally, GCF of Fractions for 5011/156, 3702/7138 is 1/556764.