GCF of 5710/158, 7470/6166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5710/158, 7470/6166 i.e 10/487114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5710/158, 7470/6166.
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 5710/158,7470/6166?
Given fractions are 5710/158,7470/6166
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 5710/158,7470/6166, numerators are 5710,7470
Denominators are 158,6166
The GCF of 5710,7470 is 10 .
LCM of 158,6166 is 487114.
The greatest common factor of 5710/158,7470/6166 = [GCF of 5710,7470]/[LCM of 158,6166]= 10/487114
Therefore, the GCF of 5710/158,7470/6166 is 10/487114.
To find the highest common factor of 5710,7470, we have to find the factors of both numbers and list the highest common factor.
The factors of 5710 are 1, 2, 5, 10, 571, 1142, 2855, 5710
The factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470
The HCF of 5710,7470 is 10.
Lets's calculate GCF of 5710,7470
| 2 | 5710, 7470 |
| 5 | 2855, 3735 |
| 571, 747 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5710,7470 By Matching Biggest Common Factor Method
Now, list down the factors of 5710
:1,2,5,10,571,1142,2855,5710
Now, list down the factors of 7470
:1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470
Greatest Common Factor
We found the factors 5710,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 5710,7470 is 10.
Lets's calculate LCM of 158,6166
| 2 | 158, 6166 |
| 79, 3083 |
∴ So the LCM of the given numbers is 2 x 79 x 3083 = 487114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/487114
Therefore, the GCF of Fractions 5710/158,7470/6166 is 10/487114
Least Common Multiple of 158,6166 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 158,6166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,6166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,6166) x common factors =2 x 1 = 2
LCM(158,6166) = ( 158 × 6166 ) / 2
LCM(158,6166) = 974228 / 2
LCM(158,6166) = 487114
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FAQs on GCF of Fractions of 5710/158, 7470/6166
1. What is the HCF of 5710,7470?
The HCF of 5710,7470 is 10
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 5710/158, 7470/6166?
Answer: GCF of Numerators as per given numbers 5710/158, 7470/6166 is
GCF of Numerators i.e. for 5710,7470 is 10
LCM of denominators i.e. for 158,6166 is 487114.
Thus, GCF of Fractions is 10/487114.Finally, GCF of Fractions for 5710/158, 7470/6166 is 10/487114.