GCF of 2676/498, 2092/9735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2676/498, 2092/9735 i.e 4/1616010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2676/498, 2092/9735.
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 2676/498,2092/9735?
Given fractions are 2676/498,2092/9735
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 2676/498,2092/9735, numerators are 2676,2092
Denominators are 498,9735
The GCF of 2676,2092 is 4 .
LCM of 498,9735 is 1616010.
The greatest common factor of 2676/498,2092/9735 = [GCF of 2676,2092]/[LCM of 498,9735]= 4/1616010
Therefore, the GCF of 2676/498,2092/9735 is 4/1616010.
To find the highest common factor of 2676,2092, we have to find the factors of both numbers and list the highest common factor.
The factors of 2676 are 1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338, 2676
The factors of 2092 are 1, 2, 4, 523, 1046, 2092
The HCF of 2676,2092 is 4.
Lets's calculate GCF of 2676,2092
| 2 | 2676, 2092 |
| 2 | 1338, 1046 |
| 669, 523 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2676,2092 By Matching Biggest Common Factor Method
Now, list down the factors of 2676
:1,2,3,4,6,12,223,446,669,892,1338,2676
Now, list down the factors of 2092
:1,2,4,523,1046,2092
Greatest Common Factor
We found the factors 2676,2092 . The biggest common factor number is the GCF number.
So the greatest common factor 2676,2092 is 4.
Lets's calculate LCM of 498,9735
| 3 | 498, 9735 |
| 166, 3245 |
∴ So the LCM of the given numbers is 3 x 166 x 3245 = 1616010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1616010
Therefore, the GCF of Fractions 2676/498,2092/9735 is 4/1616010
Least Common Multiple of 498,9735 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 498,9735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,9735) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(498,9735) x common factors =3 x 1 = 3
LCM(498,9735) = ( 498 × 9735 ) / 3
LCM(498,9735) = 4848030 / 3
LCM(498,9735) = 1616010
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FAQs on GCF of Fractions of 2676/498, 2092/9735
1. What is the HCF of 2676,2092?
The HCF of 2676,2092 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 2676/498, 2092/9735?
Answer: GCF of Numerators as per given numbers 2676/498, 2092/9735 is
GCF of Numerators i.e. for 2676,2092 is 4
LCM of denominators i.e. for 498,9735 is 1616010.
Thus, GCF of Fractions is 4/1616010.Finally, GCF of Fractions for 2676/498, 2092/9735 is 4/1616010.