GCF of 4964/472, 7324/2976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4964/472, 7324/2976 i.e 4/175584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4964/472, 7324/2976.
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 4964/472,7324/2976?
Given fractions are 4964/472,7324/2976
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 4964/472,7324/2976, numerators are 4964,7324
Denominators are 472,2976
The GCF of 4964,7324 is 4 .
LCM of 472,2976 is 175584.
The greatest common factor of 4964/472,7324/2976 = [GCF of 4964,7324]/[LCM of 472,2976]= 4/175584
Therefore, the GCF of 4964/472,7324/2976 is 4/175584.
To find the highest common factor of 4964,7324, we have to find the factors of both numbers and list the highest common factor.
The factors of 4964 are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964
The factors of 7324 are 1, 2, 4, 1831, 3662, 7324
The HCF of 4964,7324 is 4.
Lets's calculate GCF of 4964,7324
| 2 | 4964, 7324 |
| 2 | 2482, 3662 |
| 1241, 1831 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4964,7324 By Matching Biggest Common Factor Method
Now, list down the factors of 4964
:1,2,4,17,34,68,73,146,292,1241,2482,4964
Now, list down the factors of 7324
:1,2,4,1831,3662,7324
Greatest Common Factor
We found the factors 4964,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 4964,7324 is 4.
Lets's calculate LCM of 472,2976
| 2 | 472, 2976 |
| 2 | 236, 1488 |
| 2 | 118, 744 |
| 59, 372 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 372 = 175584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/175584
Therefore, the GCF of Fractions 4964/472,7324/2976 is 4/175584
Least Common Multiple of 472,2976 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 472,2976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,2976) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(472,2976) x common factors =8 x 1 = 8
LCM(472,2976) = ( 472 × 2976 ) / 8
LCM(472,2976) = 1404672 / 8
LCM(472,2976) = 175584
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FAQs on GCF of Fractions of 4964/472, 7324/2976
1. What is the HCF of 4964,7324?
The HCF of 4964,7324 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 4964/472, 7324/2976?
Answer: GCF of Numerators as per given numbers 4964/472, 7324/2976 is
GCF of Numerators i.e. for 4964,7324 is 4
LCM of denominators i.e. for 472,2976 is 175584.
Thus, GCF of Fractions is 4/175584.Finally, GCF of Fractions for 4964/472, 7324/2976 is 4/175584.