GCF of 245/70, 660/695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 245/70, 660/695 i.e 5/9730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/70, 660/695.
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 245/70,660/695?
Given fractions are 245/70,660/695
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 245/70,660/695, numerators are 245,660
Denominators are 70,695
The GCF of 245,660 is 5 .
LCM of 70,695 is 9730.
The greatest common factor of 245/70,660/695 = [GCF of 245,660]/[LCM of 70,695]= 5/9730
Therefore, the GCF of 245/70,660/695 is 5/9730.
To find the highest common factor of 245,660, we have to find the factors of both numbers and list the highest common factor.
The factors of 245 are 1, 5, 7, 35, 49, 245
The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
The HCF of 245,660 is 5.
Lets's calculate GCF of 245,660
| 5 | 245, 660 |
| 49, 132 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 245,660 By Matching Biggest Common Factor Method
Now, list down the factors of 245
:1,5,7,35,49,245
Now, list down the factors of 660
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 245,660 . The biggest common factor number is the GCF number.
So the greatest common factor 245,660 is 5.
Lets's calculate LCM of 70,695
| 5 | 70, 695 |
| 14, 139 |
∴ So the LCM of the given numbers is 5 x 14 x 139 = 9730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9730
Therefore, the GCF of Fractions 245/70,660/695 is 5/9730
Least Common Multiple of 70,695 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 70,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,695) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(70,695) x common factors =5 x 1 = 5
LCM(70,695) = ( 70 × 695 ) / 5
LCM(70,695) = 48650 / 5
LCM(70,695) = 9730
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FAQs on GCF of Fractions of 245/70, 660/695
1. What is the HCF of 245,660?
The HCF of 245,660 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 245/70, 660/695?
Answer: GCF of Numerators as per given numbers 245/70, 660/695 is
GCF of Numerators i.e. for 245,660 is 5
LCM of denominators i.e. for 70,695 is 9730.
Thus, GCF of Fractions is 5/9730.Finally, GCF of Fractions for 245/70, 660/695 is 5/9730.