GCF of 670/68, 965/9710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 670/68, 965/9710 i.e 5/330140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 670/68, 965/9710.
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 670/68,965/9710?
Given fractions are 670/68,965/9710
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 670/68,965/9710, numerators are 670,965
Denominators are 68,9710
The GCF of 670,965 is 5 .
LCM of 68,9710 is 330140.
The greatest common factor of 670/68,965/9710 = [GCF of 670,965]/[LCM of 68,9710]= 5/330140
Therefore, the GCF of 670/68,965/9710 is 5/330140.
To find the highest common factor of 670,965, we have to find the factors of both numbers and list the highest common factor.
The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670
The factors of 965 are 1, 5, 193, 965
The HCF of 670,965 is 5.
Lets's calculate GCF of 670,965
| 5 | 670, 965 |
| 134, 193 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 670,965 By Matching Biggest Common Factor Method
Now, list down the factors of 670
:1,2,5,10,67,134,335,670
Now, list down the factors of 965
:1,5,193,965
Greatest Common Factor
We found the factors 670,965 . The biggest common factor number is the GCF number.
So the greatest common factor 670,965 is 5.
Lets's calculate LCM of 68,9710
| 2 | 68, 9710 |
| 34, 4855 |
∴ So the LCM of the given numbers is 2 x 34 x 4855 = 330140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/330140
Therefore, the GCF of Fractions 670/68,965/9710 is 5/330140
Least Common Multiple of 68,9710 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 68,9710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,9710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,9710) x common factors =2 x 1 = 2
LCM(68,9710) = ( 68 × 9710 ) / 2
LCM(68,9710) = 660280 / 2
LCM(68,9710) = 330140
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FAQs on GCF of Fractions of 670/68, 965/9710
1. What is the HCF of 670,965?
The HCF of 670,965 is 5
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 670/68, 965/9710?
Answer: GCF of Numerators as per given numbers 670/68, 965/9710 is
GCF of Numerators i.e. for 670,965 is 5
LCM of denominators i.e. for 68,9710 is 330140.
Thus, GCF of Fractions is 5/330140.Finally, GCF of Fractions for 670/68, 965/9710 is 5/330140.