GCF of 1070/870, 6344/5013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1070/870, 6344/5013 i.e 2/1453770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1070/870, 6344/5013.
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 1070/870,6344/5013?
Given fractions are 1070/870,6344/5013
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 1070/870,6344/5013, numerators are 1070,6344
Denominators are 870,5013
The GCF of 1070,6344 is 2 .
LCM of 870,5013 is 1453770.
The greatest common factor of 1070/870,6344/5013 = [GCF of 1070,6344]/[LCM of 870,5013]= 2/1453770
Therefore, the GCF of 1070/870,6344/5013 is 2/1453770.
To find the highest common factor of 1070,6344, we have to find the factors of both numbers and list the highest common factor.
The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070
The factors of 6344 are 1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344
The HCF of 1070,6344 is 2.
Lets's calculate GCF of 1070,6344
| 2 | 1070, 6344 |
| 535, 3172 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1070,6344 By Matching Biggest Common Factor Method
Now, list down the factors of 1070
:1,2,5,10,107,214,535,1070
Now, list down the factors of 6344
:1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344
Greatest Common Factor
We found the factors 1070,6344 . The biggest common factor number is the GCF number.
So the greatest common factor 1070,6344 is 2.
Lets's calculate LCM of 870,5013
| 3 | 870, 5013 |
| 290, 1671 |
∴ So the LCM of the given numbers is 3 x 290 x 1671 = 1453770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1453770
Therefore, the GCF of Fractions 1070/870,6344/5013 is 2/1453770
Least Common Multiple of 870,5013 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 870,5013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,5013) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(870,5013) x common factors =3 x 1 = 3
LCM(870,5013) = ( 870 × 5013 ) / 3
LCM(870,5013) = 4361310 / 3
LCM(870,5013) = 1453770
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FAQs on GCF of Fractions of 1070/870, 6344/5013
1. What is the HCF of 1070,6344?
The HCF of 1070,6344 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 1070/870, 6344/5013?
Answer: GCF of Numerators as per given numbers 1070/870, 6344/5013 is
GCF of Numerators i.e. for 1070,6344 is 2
LCM of denominators i.e. for 870,5013 is 1453770.
Thus, GCF of Fractions is 2/1453770.Finally, GCF of Fractions for 1070/870, 6344/5013 is 2/1453770.