GCF of 5980/456, 4708/176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5980/456, 4708/176 i.e 4/10032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5980/456, 4708/176.
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 5980/456,4708/176?
Given fractions are 5980/456,4708/176
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 5980/456,4708/176, numerators are 5980,4708
Denominators are 456,176
The GCF of 5980,4708 is 4 .
LCM of 456,176 is 10032.
The greatest common factor of 5980/456,4708/176 = [GCF of 5980,4708]/[LCM of 456,176]= 4/10032
Therefore, the GCF of 5980/456,4708/176 is 4/10032.
To find the highest common factor of 5980,4708, we have to find the factors of both numbers and list the highest common factor.
The factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980
The factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708
The HCF of 5980,4708 is 4.
Lets's calculate GCF of 5980,4708
| 2 | 5980, 4708 |
| 2 | 2990, 2354 |
| 1495, 1177 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5980,4708 By Matching Biggest Common Factor Method
Now, list down the factors of 5980
:1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980
Now, list down the factors of 4708
:1,2,4,11,22,44,107,214,428,1177,2354,4708
Greatest Common Factor
We found the factors 5980,4708 . The biggest common factor number is the GCF number.
So the greatest common factor 5980,4708 is 4.
Lets's calculate LCM of 456,176
| 2 | 456, 176 |
| 2 | 228, 88 |
| 2 | 114, 44 |
| 57, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 22 = 10032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10032
Therefore, the GCF of Fractions 5980/456,4708/176 is 4/10032
Least Common Multiple of 456,176 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 456,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,176) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(456,176) x common factors =8 x 1 = 8
LCM(456,176) = ( 456 × 176 ) / 8
LCM(456,176) = 80256 / 8
LCM(456,176) = 10032
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FAQs on GCF of Fractions of 5980/456, 4708/176
1. What is the HCF of 5980,4708?
The HCF of 5980,4708 is 4
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 5980/456, 4708/176?
Answer: GCF of Numerators as per given numbers 5980/456, 4708/176 is
GCF of Numerators i.e. for 5980,4708 is 4
LCM of denominators i.e. for 456,176 is 10032.
Thus, GCF of Fractions is 4/10032.Finally, GCF of Fractions for 5980/456, 4708/176 is 4/10032.