GCF of 5070/612, 9490/5159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5070/612, 9490/5159 i.e 130/3157308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5070/612, 9490/5159.
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 5070/612,9490/5159?
Given fractions are 5070/612,9490/5159
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 5070/612,9490/5159, numerators are 5070,9490
Denominators are 612,5159
The GCF of 5070,9490 is 130 .
LCM of 612,5159 is 3157308.
The greatest common factor of 5070/612,9490/5159 = [GCF of 5070,9490]/[LCM of 612,5159]= 130/3157308
Therefore, the GCF of 5070/612,9490/5159 is 130/3157308.
To find the highest common factor of 5070,9490, we have to find the factors of both numbers and list the highest common factor.
The factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070
The factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490
The HCF of 5070,9490 is 130.
Lets's calculate GCF of 5070,9490
| 2 | 5070, 9490 |
| 5 | 2535, 4745 |
| 13 | 507, 949 |
| 39, 73 |
∴ So the GCF of the given numbers is 2 x 5 x 13 = 130
Greatest Common Factor of 5070,9490 By Matching Biggest Common Factor Method
Now, list down the factors of 5070
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070
Now, list down the factors of 9490
:1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490
Greatest Common Factor
We found the factors 5070,9490 . The biggest common factor number is the GCF number.
So the greatest common factor 5070,9490 is 130.
Lets's calculate LCM of 612,5159
Given numbers has no common factors except 1. So, there LCM is their product i.e 3157308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 130/3157308
Therefore, the GCF of Fractions 5070/612,9490/5159 is 130/3157308
Least Common Multiple of 612,5159 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 612,5159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,5159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(612,5159) x common factors =1 x 1 = 1
LCM(612,5159) = ( 612 × 5159 ) / 1
LCM(612,5159) = 3157308 / 1
LCM(612,5159) = 3157308
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FAQs on GCF of Fractions of 5070/612, 9490/5159
1. What is the HCF of 5070,9490?
The HCF of 5070,9490 is 130
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 5070/612, 9490/5159?
Answer: GCF of Numerators as per given numbers 5070/612, 9490/5159 is
GCF of Numerators i.e. for 5070,9490 is 130
LCM of denominators i.e. for 612,5159 is 3157308.
Thus, GCF of Fractions is 130/3157308.Finally, GCF of Fractions for 5070/612, 9490/5159 is 130/3157308.