GCF of 4616/177, 6464/6137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4616/177, 6464/6137 i.e 8/1086249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4616/177, 6464/6137.
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 4616/177,6464/6137?
Given fractions are 4616/177,6464/6137
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 4616/177,6464/6137, numerators are 4616,6464
Denominators are 177,6137
The GCF of 4616,6464 is 8 .
LCM of 177,6137 is 1086249.
The greatest common factor of 4616/177,6464/6137 = [GCF of 4616,6464]/[LCM of 177,6137]= 8/1086249
Therefore, the GCF of 4616/177,6464/6137 is 8/1086249.
To find the highest common factor of 4616,6464, we have to find the factors of both numbers and list the highest common factor.
The factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616
The factors of 6464 are 1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232, 6464
The HCF of 4616,6464 is 8.
Lets's calculate GCF of 4616,6464
| 2 | 4616, 6464 |
| 2 | 2308, 3232 |
| 2 | 1154, 1616 |
| 577, 808 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4616,6464 By Matching Biggest Common Factor Method
Now, list down the factors of 4616
:1,2,4,8,577,1154,2308,4616
Now, list down the factors of 6464
:1,2,4,8,16,32,64,101,202,404,808,1616,3232,6464
Greatest Common Factor
We found the factors 4616,6464 . The biggest common factor number is the GCF number.
So the greatest common factor 4616,6464 is 8.
Lets's calculate LCM of 177,6137
Given numbers has no common factors except 1. So, there LCM is their product i.e 1086249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1086249
Therefore, the GCF of Fractions 4616/177,6464/6137 is 8/1086249
Least Common Multiple of 177,6137 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 177,6137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,6137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,6137) x common factors =1 x 1 = 1
LCM(177,6137) = ( 177 × 6137 ) / 1
LCM(177,6137) = 1086249 / 1
LCM(177,6137) = 1086249
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FAQs on GCF of Fractions of 4616/177, 6464/6137
1. What is the HCF of 4616,6464?
The HCF of 4616,6464 is 8
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 4616/177, 6464/6137?
Answer: GCF of Numerators as per given numbers 4616/177, 6464/6137 is
GCF of Numerators i.e. for 4616,6464 is 8
LCM of denominators i.e. for 177,6137 is 1086249.
Thus, GCF of Fractions is 8/1086249.Finally, GCF of Fractions for 4616/177, 6464/6137 is 8/1086249.