GCF of 6070/250, 9790/4200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6070/250, 9790/4200 i.e 10/21000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6070/250, 9790/4200.
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 6070/250,9790/4200?
Given fractions are 6070/250,9790/4200
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 6070/250,9790/4200, numerators are 6070,9790
Denominators are 250,4200
The GCF of 6070,9790 is 10 .
LCM of 250,4200 is 21000.
The greatest common factor of 6070/250,9790/4200 = [GCF of 6070,9790]/[LCM of 250,4200]= 10/21000
Therefore, the GCF of 6070/250,9790/4200 is 10/21000.
To find the highest common factor of 6070,9790, we have to find the factors of both numbers and list the highest common factor.
The factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070
The factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790
The HCF of 6070,9790 is 10.
Lets's calculate GCF of 6070,9790
| 2 | 6070, 9790 |
| 5 | 3035, 4895 |
| 607, 979 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6070,9790 By Matching Biggest Common Factor Method
Now, list down the factors of 6070
:1,2,5,10,607,1214,3035,6070
Now, list down the factors of 9790
:1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790
Greatest Common Factor
We found the factors 6070,9790 . The biggest common factor number is the GCF number.
So the greatest common factor 6070,9790 is 10.
Lets's calculate LCM of 250,4200
| 2 | 250, 4200 |
| 5 | 125, 2100 |
| 5 | 25, 420 |
| 5, 84 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 5 x 84 = 21000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/21000
Therefore, the GCF of Fractions 6070/250,9790/4200 is 10/21000
Least Common Multiple of 250,4200 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 250,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,4200) = 50
common factors(in case of two or more numbers have common factors) = 1
GCF(250,4200) x common factors =50 x 1 = 50
LCM(250,4200) = ( 250 × 4200 ) / 50
LCM(250,4200) = 1050000 / 50
LCM(250,4200) = 21000
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FAQs on GCF of Fractions of 6070/250, 9790/4200
1. What is the HCF of 6070,9790?
The HCF of 6070,9790 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 6070/250, 9790/4200?
Answer: GCF of Numerators as per given numbers 6070/250, 9790/4200 is
GCF of Numerators i.e. for 6070,9790 is 10
LCM of denominators i.e. for 250,4200 is 21000.
Thus, GCF of Fractions is 10/21000.Finally, GCF of Fractions for 6070/250, 9790/4200 is 10/21000.