GCF of 2474/170, 2570/6695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2474/170, 2570/6695 i.e 2/227630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2474/170, 2570/6695.
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 2474/170,2570/6695?
Given fractions are 2474/170,2570/6695
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 2474/170,2570/6695, numerators are 2474,2570
Denominators are 170,6695
The GCF of 2474,2570 is 2 .
LCM of 170,6695 is 227630.
The greatest common factor of 2474/170,2570/6695 = [GCF of 2474,2570]/[LCM of 170,6695]= 2/227630
Therefore, the GCF of 2474/170,2570/6695 is 2/227630.
To find the highest common factor of 2474,2570, we have to find the factors of both numbers and list the highest common factor.
The factors of 2474 are 1, 2, 1237, 2474
The factors of 2570 are 1, 2, 5, 10, 257, 514, 1285, 2570
The HCF of 2474,2570 is 2.
Lets's calculate GCF of 2474,2570
| 2 | 2474, 2570 |
| 1237, 1285 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2474,2570 By Matching Biggest Common Factor Method
Now, list down the factors of 2474
:1,2,1237,2474
Now, list down the factors of 2570
:1,2,5,10,257,514,1285,2570
Greatest Common Factor
We found the factors 2474,2570 . The biggest common factor number is the GCF number.
So the greatest common factor 2474,2570 is 2.
Lets's calculate LCM of 170,6695
| 5 | 170, 6695 |
| 34, 1339 |
∴ So the LCM of the given numbers is 5 x 34 x 1339 = 227630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/227630
Therefore, the GCF of Fractions 2474/170,2570/6695 is 2/227630
Least Common Multiple of 170,6695 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 170,6695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,6695) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(170,6695) x common factors =5 x 1 = 5
LCM(170,6695) = ( 170 × 6695 ) / 5
LCM(170,6695) = 1138150 / 5
LCM(170,6695) = 227630
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FAQs on GCF of Fractions of 2474/170, 2570/6695
1. What is the HCF of 2474,2570?
The HCF of 2474,2570 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 2474/170, 2570/6695?
Answer: GCF of Numerators as per given numbers 2474/170, 2570/6695 is
GCF of Numerators i.e. for 2474,2570 is 2
LCM of denominators i.e. for 170,6695 is 227630.
Thus, GCF of Fractions is 2/227630.Finally, GCF of Fractions for 2474/170, 2570/6695 is 2/227630.