GCF of 2116/512, 8978/4090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2116/512, 8978/4090 i.e 2/1047040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2116/512, 8978/4090.
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 2116/512,8978/4090?
Given fractions are 2116/512,8978/4090
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 2116/512,8978/4090, numerators are 2116,8978
Denominators are 512,4090
The GCF of 2116,8978 is 2 .
LCM of 512,4090 is 1047040.
The greatest common factor of 2116/512,8978/4090 = [GCF of 2116,8978]/[LCM of 512,4090]= 2/1047040
Therefore, the GCF of 2116/512,8978/4090 is 2/1047040.
To find the highest common factor of 2116,8978, we have to find the factors of both numbers and list the highest common factor.
The factors of 2116 are 1, 2, 4, 23, 46, 92, 529, 1058, 2116
The factors of 8978 are 1, 2, 67, 134, 4489, 8978
The HCF of 2116,8978 is 2.
Lets's calculate GCF of 2116,8978
| 2 | 2116, 8978 |
| 1058, 4489 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2116,8978 By Matching Biggest Common Factor Method
Now, list down the factors of 2116
:1,2,4,23,46,92,529,1058,2116
Now, list down the factors of 8978
:1,2,67,134,4489,8978
Greatest Common Factor
We found the factors 2116,8978 . The biggest common factor number is the GCF number.
So the greatest common factor 2116,8978 is 2.
Lets's calculate LCM of 512,4090
| 2 | 512, 4090 |
| 256, 2045 |
∴ So the LCM of the given numbers is 2 x 256 x 2045 = 1047040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1047040
Therefore, the GCF of Fractions 2116/512,8978/4090 is 2/1047040
Least Common Multiple of 512,4090 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 512,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,4090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,4090) x common factors =2 x 1 = 2
LCM(512,4090) = ( 512 × 4090 ) / 2
LCM(512,4090) = 2094080 / 2
LCM(512,4090) = 1047040
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FAQs on GCF of Fractions of 2116/512, 8978/4090
1. What is the HCF of 2116,8978?
The HCF of 2116,8978 is 2
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 2116/512, 8978/4090?
Answer: GCF of Numerators as per given numbers 2116/512, 8978/4090 is
GCF of Numerators i.e. for 2116,8978 is 2
LCM of denominators i.e. for 512,4090 is 1047040.
Thus, GCF of Fractions is 2/1047040.Finally, GCF of Fractions for 2116/512, 8978/4090 is 2/1047040.