GCF of 517/822, 1870/3196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 517/822, 1870/3196 i.e 11/1313556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 517/822, 1870/3196.
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 517/822,1870/3196?
Given fractions are 517/822,1870/3196
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 517/822,1870/3196, numerators are 517,1870
Denominators are 822,3196
The GCF of 517,1870 is 11 .
LCM of 822,3196 is 1313556.
The greatest common factor of 517/822,1870/3196 = [GCF of 517,1870]/[LCM of 822,3196]= 11/1313556
Therefore, the GCF of 517/822,1870/3196 is 11/1313556.
To find the highest common factor of 517,1870, we have to find the factors of both numbers and list the highest common factor.
The factors of 517 are 1, 11, 47, 517
The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
The HCF of 517,1870 is 11.
Lets's calculate GCF of 517,1870
| 11 | 517, 1870 |
| 47, 170 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 517,1870 By Matching Biggest Common Factor Method
Now, list down the factors of 517
:1,11,47,517
Now, list down the factors of 1870
:1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Greatest Common Factor
We found the factors 517,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 517,1870 is 11.
Lets's calculate LCM of 822,3196
| 2 | 822, 3196 |
| 411, 1598 |
∴ So the LCM of the given numbers is 2 x 411 x 1598 = 1313556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1313556
Therefore, the GCF of Fractions 517/822,1870/3196 is 11/1313556
Least Common Multiple of 822,3196 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 822,3196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,3196) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,3196) x common factors =2 x 1 = 2
LCM(822,3196) = ( 822 × 3196 ) / 2
LCM(822,3196) = 2627112 / 2
LCM(822,3196) = 1313556
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FAQs on GCF of Fractions of 517/822, 1870/3196
1. What is the HCF of 517,1870?
The HCF of 517,1870 is 11
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 517/822, 1870/3196?
Answer: GCF of Numerators as per given numbers 517/822, 1870/3196 is
GCF of Numerators i.e. for 517,1870 is 11
LCM of denominators i.e. for 822,3196 is 1313556.
Thus, GCF of Fractions is 11/1313556.Finally, GCF of Fractions for 517/822, 1870/3196 is 11/1313556.