GCF of 4968/994, 3654/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4968/994, 3654/916 i.e 18/455252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4968/994, 3654/916.
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 4968/994,3654/916?
Given fractions are 4968/994,3654/916
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 4968/994,3654/916, numerators are 4968,3654
Denominators are 994,916
The GCF of 4968,3654 is 18 .
LCM of 994,916 is 455252.
The greatest common factor of 4968/994,3654/916 = [GCF of 4968,3654]/[LCM of 994,916]= 18/455252
Therefore, the GCF of 4968/994,3654/916 is 18/455252.
To find the highest common factor of 4968,3654, 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 3654 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654
The HCF of 4968,3654 is 18.
Lets's calculate GCF of 4968,3654
| 2 | 4968, 3654 |
| 3 | 2484, 1827 |
| 3 | 828, 609 |
| 276, 203 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 4968,3654 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 3654
:1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654
Greatest Common Factor
We found the factors 4968,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 4968,3654 is 18.
Lets's calculate LCM of 994,916
| 2 | 994, 916 |
| 497, 458 |
∴ So the LCM of the given numbers is 2 x 497 x 458 = 455252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/455252
Therefore, the GCF of Fractions 4968/994,3654/916 is 18/455252
Least Common Multiple of 994,916 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 994,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,916) x common factors =2 x 1 = 2
LCM(994,916) = ( 994 × 916 ) / 2
LCM(994,916) = 910504 / 2
LCM(994,916) = 455252
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FAQs on GCF of Fractions of 4968/994, 3654/916
1. What is the HCF of 4968,3654?
The HCF of 4968,3654 is 18
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 4968/994, 3654/916?
Answer: GCF of Numerators as per given numbers 4968/994, 3654/916 is
GCF of Numerators i.e. for 4968,3654 is 18
LCM of denominators i.e. for 994,916 is 455252.
Thus, GCF of Fractions is 18/455252.Finally, GCF of Fractions for 4968/994, 3654/916 is 18/455252.