GCF of 5366/980, 5166/8122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5366/980, 5166/8122 i.e 2/3979780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5366/980, 5166/8122.
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 5366/980,5166/8122?
Given fractions are 5366/980,5166/8122
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 5366/980,5166/8122, numerators are 5366,5166
Denominators are 980,8122
The GCF of 5366,5166 is 2 .
LCM of 980,8122 is 3979780.
The greatest common factor of 5366/980,5166/8122 = [GCF of 5366,5166]/[LCM of 980,8122]= 2/3979780
Therefore, the GCF of 5366/980,5166/8122 is 2/3979780.
To find the highest common factor of 5366,5166, we have to find the factors of both numbers and list the highest common factor.
The factors of 5366 are 1, 2, 2683, 5366
The factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166
The HCF of 5366,5166 is 2.
Lets's calculate GCF of 5366,5166
| 2 | 5366, 5166 |
| 2683, 2583 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5366,5166 By Matching Biggest Common Factor Method
Now, list down the factors of 5366
:1,2,2683,5366
Now, list down the factors of 5166
:1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166
Greatest Common Factor
We found the factors 5366,5166 . The biggest common factor number is the GCF number.
So the greatest common factor 5366,5166 is 2.
Lets's calculate LCM of 980,8122
| 2 | 980, 8122 |
| 490, 4061 |
∴ So the LCM of the given numbers is 2 x 490 x 4061 = 3979780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3979780
Therefore, the GCF of Fractions 5366/980,5166/8122 is 2/3979780
Least Common Multiple of 980,8122 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 980,8122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,8122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(980,8122) x common factors =2 x 1 = 2
LCM(980,8122) = ( 980 × 8122 ) / 2
LCM(980,8122) = 7959560 / 2
LCM(980,8122) = 3979780
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FAQs on GCF of Fractions of 5366/980, 5166/8122
1. What is the HCF of 5366,5166?
The HCF of 5366,5166 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 5366/980, 5166/8122?
Answer: GCF of Numerators as per given numbers 5366/980, 5166/8122 is
GCF of Numerators i.e. for 5366,5166 is 2
LCM of denominators i.e. for 980,8122 is 3979780.
Thus, GCF of Fractions is 2/3979780.Finally, GCF of Fractions for 5366/980, 5166/8122 is 2/3979780.