GCF of 5179/102, 6424/4660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5179/102, 6424/4660 i.e 1/237660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5179/102, 6424/4660.
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 5179/102,6424/4660?
Given fractions are 5179/102,6424/4660
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 5179/102,6424/4660, numerators are 5179,6424
Denominators are 102,4660
The GCF of 5179,6424 is 1 .
LCM of 102,4660 is 237660.
The greatest common factor of 5179/102,6424/4660 = [GCF of 5179,6424]/[LCM of 102,4660]= 1/237660
Therefore, the GCF of 5179/102,6424/4660 is 1/237660.
To find the highest common factor of 5179,6424, we have to find the factors of both numbers and list the highest common factor.
The factors of 5179 are 1, 5179
The factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424
The HCF of 5179,6424 is 1.
Lets's calculate GCF of 5179,6424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5179,6424 By Matching Biggest Common Factor Method
Now, list down the factors of 5179
:1,5179
Now, list down the factors of 6424
:1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424
Greatest Common Factor
We found the factors 5179,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 5179,6424 is 1.
Lets's calculate LCM of 102,4660
| 2 | 102, 4660 |
| 51, 2330 |
∴ So the LCM of the given numbers is 2 x 51 x 2330 = 237660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237660
Therefore, the GCF of Fractions 5179/102,6424/4660 is 1/237660
Least Common Multiple of 102,4660 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 102,4660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,4660) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,4660) x common factors =2 x 1 = 2
LCM(102,4660) = ( 102 × 4660 ) / 2
LCM(102,4660) = 475320 / 2
LCM(102,4660) = 237660
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FAQs on GCF of Fractions of 5179/102, 6424/4660
1. What is the HCF of 5179,6424?
The HCF of 5179,6424 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 5179/102, 6424/4660?
Answer: GCF of Numerators as per given numbers 5179/102, 6424/4660 is
GCF of Numerators i.e. for 5179,6424 is 1
LCM of denominators i.e. for 102,4660 is 237660.
Thus, GCF of Fractions is 1/237660.Finally, GCF of Fractions for 5179/102, 6424/4660 is 1/237660.