GCF of 7016/204, 2460/4638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7016/204, 2460/4638 i.e 4/157692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7016/204, 2460/4638.
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 7016/204,2460/4638?
Given fractions are 7016/204,2460/4638
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 7016/204,2460/4638, numerators are 7016,2460
Denominators are 204,4638
The GCF of 7016,2460 is 4 .
LCM of 204,4638 is 157692.
The greatest common factor of 7016/204,2460/4638 = [GCF of 7016,2460]/[LCM of 204,4638]= 4/157692
Therefore, the GCF of 7016/204,2460/4638 is 4/157692.
To find the highest common factor of 7016,2460, we have to find the factors of both numbers and list the highest common factor.
The factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016
The factors of 2460 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460
The HCF of 7016,2460 is 4.
Lets's calculate GCF of 7016,2460
| 2 | 7016, 2460 |
| 2 | 3508, 1230 |
| 1754, 615 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7016,2460 By Matching Biggest Common Factor Method
Now, list down the factors of 7016
:1,2,4,8,877,1754,3508,7016
Now, list down the factors of 2460
:1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460
Greatest Common Factor
We found the factors 7016,2460 . The biggest common factor number is the GCF number.
So the greatest common factor 7016,2460 is 4.
Lets's calculate LCM of 204,4638
| 2 | 204, 4638 |
| 3 | 102, 2319 |
| 34, 773 |
∴ So the LCM of the given numbers is 2 x 3 x 34 x 773 = 157692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/157692
Therefore, the GCF of Fractions 7016/204,2460/4638 is 4/157692
Least Common Multiple of 204,4638 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 204,4638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,4638) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(204,4638) x common factors =6 x 1 = 6
LCM(204,4638) = ( 204 × 4638 ) / 6
LCM(204,4638) = 946152 / 6
LCM(204,4638) = 157692
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FAQs on GCF of Fractions of 7016/204, 2460/4638
1. What is the HCF of 7016,2460?
The HCF of 7016,2460 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 7016/204, 2460/4638?
Answer: GCF of Numerators as per given numbers 7016/204, 2460/4638 is
GCF of Numerators i.e. for 7016,2460 is 4
LCM of denominators i.e. for 204,4638 is 157692.
Thus, GCF of Fractions is 4/157692.Finally, GCF of Fractions for 7016/204, 2460/4638 is 4/157692.