GCF of 5880/372, 4677/5218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5880/372, 4677/5218 i.e 3/970548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5880/372, 4677/5218.
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 5880/372,4677/5218?
Given fractions are 5880/372,4677/5218
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 5880/372,4677/5218, numerators are 5880,4677
Denominators are 372,5218
The GCF of 5880,4677 is 3 .
LCM of 372,5218 is 970548.
The greatest common factor of 5880/372,4677/5218 = [GCF of 5880,4677]/[LCM of 372,5218]= 3/970548
Therefore, the GCF of 5880/372,4677/5218 is 3/970548.
To find the highest common factor of 5880,4677, we have to find the factors of both numbers and list the highest common factor.
The factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880
The factors of 4677 are 1, 3, 1559, 4677
The HCF of 5880,4677 is 3.
Lets's calculate GCF of 5880,4677
| 3 | 5880, 4677 |
| 1960, 1559 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5880,4677 By Matching Biggest Common Factor Method
Now, list down the factors of 5880
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880
Now, list down the factors of 4677
:1,3,1559,4677
Greatest Common Factor
We found the factors 5880,4677 . The biggest common factor number is the GCF number.
So the greatest common factor 5880,4677 is 3.
Lets's calculate LCM of 372,5218
| 2 | 372, 5218 |
| 186, 2609 |
∴ So the LCM of the given numbers is 2 x 186 x 2609 = 970548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/970548
Therefore, the GCF of Fractions 5880/372,4677/5218 is 3/970548
Least Common Multiple of 372,5218 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 372,5218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,5218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(372,5218) x common factors =2 x 1 = 2
LCM(372,5218) = ( 372 × 5218 ) / 2
LCM(372,5218) = 1941096 / 2
LCM(372,5218) = 970548
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FAQs on GCF of Fractions of 5880/372, 4677/5218
1. What is the HCF of 5880,4677?
The HCF of 5880,4677 is 3
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 5880/372, 4677/5218?
Answer: GCF of Numerators as per given numbers 5880/372, 4677/5218 is
GCF of Numerators i.e. for 5880,4677 is 3
LCM of denominators i.e. for 372,5218 is 970548.
Thus, GCF of Fractions is 3/970548.Finally, GCF of Fractions for 5880/372, 4677/5218 is 3/970548.