GCF of 5516/510, 7970/1682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5516/510, 7970/1682 i.e 2/428910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5516/510, 7970/1682.
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 5516/510,7970/1682?
Given fractions are 5516/510,7970/1682
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 5516/510,7970/1682, numerators are 5516,7970
Denominators are 510,1682
The GCF of 5516,7970 is 2 .
LCM of 510,1682 is 428910.
The greatest common factor of 5516/510,7970/1682 = [GCF of 5516,7970]/[LCM of 510,1682]= 2/428910
Therefore, the GCF of 5516/510,7970/1682 is 2/428910.
To find the highest common factor of 5516,7970, we have to find the factors of both numbers and list the highest common factor.
The factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516
The factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970
The HCF of 5516,7970 is 2.
Lets's calculate GCF of 5516,7970
| 2 | 5516, 7970 |
| 2758, 3985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5516,7970 By Matching Biggest Common Factor Method
Now, list down the factors of 5516
:1,2,4,7,14,28,197,394,788,1379,2758,5516
Now, list down the factors of 7970
:1,2,5,10,797,1594,3985,7970
Greatest Common Factor
We found the factors 5516,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 5516,7970 is 2.
Lets's calculate LCM of 510,1682
| 2 | 510, 1682 |
| 255, 841 |
∴ So the LCM of the given numbers is 2 x 255 x 841 = 428910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/428910
Therefore, the GCF of Fractions 5516/510,7970/1682 is 2/428910
Least Common Multiple of 510,1682 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 510,1682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,1682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,1682) x common factors =2 x 1 = 2
LCM(510,1682) = ( 510 × 1682 ) / 2
LCM(510,1682) = 857820 / 2
LCM(510,1682) = 428910
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FAQs on GCF of Fractions of 5516/510, 7970/1682
1. What is the HCF of 5516,7970?
The HCF of 5516,7970 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 5516/510, 7970/1682?
Answer: GCF of Numerators as per given numbers 5516/510, 7970/1682 is
GCF of Numerators i.e. for 5516,7970 is 2
LCM of denominators i.e. for 510,1682 is 428910.
Thus, GCF of Fractions is 2/428910.Finally, GCF of Fractions for 5516/510, 7970/1682 is 2/428910.