GCF of 4968/980, 2932/8468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4968/980, 2932/8468 i.e 4/2074660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4968/980, 2932/8468.
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 4968/980,2932/8468?
Given fractions are 4968/980,2932/8468
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 4968/980,2932/8468, numerators are 4968,2932
Denominators are 980,8468
The GCF of 4968,2932 is 4 .
LCM of 980,8468 is 2074660.
The greatest common factor of 4968/980,2932/8468 = [GCF of 4968,2932]/[LCM of 980,8468]= 4/2074660
Therefore, the GCF of 4968/980,2932/8468 is 4/2074660.
To find the highest common factor of 4968,2932, we have to find the factors of both numbers and list the highest common factor.
The factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968
The factors of 2932 are 1, 2, 4, 733, 1466, 2932
The HCF of 4968,2932 is 4.
Lets's calculate GCF of 4968,2932
| 2 | 4968, 2932 |
| 2 | 2484, 1466 |
| 1242, 733 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4968,2932 By Matching Biggest Common Factor Method
Now, list down the factors of 4968
:1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968
Now, list down the factors of 2932
:1,2,4,733,1466,2932
Greatest Common Factor
We found the factors 4968,2932 . The biggest common factor number is the GCF number.
So the greatest common factor 4968,2932 is 4.
Lets's calculate LCM of 980,8468
| 2 | 980, 8468 |
| 2 | 490, 4234 |
| 245, 2117 |
∴ So the LCM of the given numbers is 2 x 2 x 245 x 2117 = 2074660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2074660
Therefore, the GCF of Fractions 4968/980,2932/8468 is 4/2074660
Least Common Multiple of 980,8468 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 980,8468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,8468) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(980,8468) x common factors =4 x 1 = 4
LCM(980,8468) = ( 980 × 8468 ) / 4
LCM(980,8468) = 8298640 / 4
LCM(980,8468) = 2074660
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FAQs on GCF of Fractions of 4968/980, 2932/8468
1. What is the HCF of 4968,2932?
The HCF of 4968,2932 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 4968/980, 2932/8468?
Answer: GCF of Numerators as per given numbers 4968/980, 2932/8468 is
GCF of Numerators i.e. for 4968,2932 is 4
LCM of denominators i.e. for 980,8468 is 2074660.
Thus, GCF of Fractions is 4/2074660.Finally, GCF of Fractions for 4968/980, 2932/8468 is 4/2074660.