GCF of 139/536, 4726/915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 139/536, 4726/915 i.e 139/490440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 139/536, 4726/915.
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 139/536,4726/915?
Given fractions are 139/536,4726/915
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 139/536,4726/915, numerators are 139,4726
Denominators are 536,915
The GCF of 139,4726 is 139 .
LCM of 536,915 is 490440.
The greatest common factor of 139/536,4726/915 = [GCF of 139,4726]/[LCM of 536,915]= 139/490440
Therefore, the GCF of 139/536,4726/915 is 139/490440.
To find the highest common factor of 139,4726, we have to find the factors of both numbers and list the highest common factor.
The factors of 139 are 1, 139
The factors of 4726 are 1, 2, 17, 34, 139, 278, 2363, 4726
The HCF of 139,4726 is 139.
Lets's calculate GCF of 139,4726
| 139 | 139, 4726 |
| 1, 34 |
∴ So the GCF of the given numbers is 139 = 139
Greatest Common Factor of 139,4726 By Matching Biggest Common Factor Method
Now, list down the factors of 139
:1,139
Now, list down the factors of 4726
:1,2,17,34,139,278,2363,4726
Greatest Common Factor
We found the factors 139,4726 . The biggest common factor number is the GCF number.
So the greatest common factor 139,4726 is 139.
Lets's calculate LCM of 536,915
Given numbers has no common factors except 1. So, there LCM is their product i.e 490440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 139/490440
Therefore, the GCF of Fractions 139/536,4726/915 is 139/490440
Least Common Multiple of 536,915 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 536,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,915) x common factors =1 x 1 = 1
LCM(536,915) = ( 536 × 915 ) / 1
LCM(536,915) = 490440 / 1
LCM(536,915) = 490440
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FAQs on GCF of Fractions of 139/536, 4726/915
1. What is the HCF of 139,4726?
The HCF of 139,4726 is 139
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 139/536, 4726/915?
Answer: GCF of Numerators as per given numbers 139/536, 4726/915 is
GCF of Numerators i.e. for 139,4726 is 139
LCM of denominators i.e. for 536,915 is 490440.
Thus, GCF of Fractions is 139/490440.Finally, GCF of Fractions for 139/536, 4726/915 is 139/490440.