GCF of 1615/971, 9785/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1615/971, 9785/101 i.e 95/98071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1615/971, 9785/101.
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 1615/971,9785/101?
Given fractions are 1615/971,9785/101
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 1615/971,9785/101, numerators are 1615,9785
Denominators are 971,101
The GCF of 1615,9785 is 95 .
LCM of 971,101 is 98071.
The greatest common factor of 1615/971,9785/101 = [GCF of 1615,9785]/[LCM of 971,101]= 95/98071
Therefore, the GCF of 1615/971,9785/101 is 95/98071.
To find the highest common factor of 1615,9785, we have to find the factors of both numbers and list the highest common factor.
The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 1615,9785 is 95.
Lets's calculate GCF of 1615,9785
| 5 | 1615, 9785 |
| 19 | 323, 1957 |
| 17, 103 |
∴ So the GCF of the given numbers is 5 x 19 = 95
Greatest Common Factor of 1615,9785 By Matching Biggest Common Factor Method
Now, list down the factors of 1615
:1,5,17,19,85,95,323,1615
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 1615,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 1615,9785 is 95.
Lets's calculate LCM of 971,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 98071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/98071
Therefore, the GCF of Fractions 1615/971,9785/101 is 95/98071
Least Common Multiple of 971,101 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 971,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,101) x common factors =1 x 1 = 1
LCM(971,101) = ( 971 × 101 ) / 1
LCM(971,101) = 98071 / 1
LCM(971,101) = 98071
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FAQs on GCF of Fractions of 1615/971, 9785/101
1. What is the HCF of 1615,9785?
The HCF of 1615,9785 is 95
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 1615/971, 9785/101?
Answer: GCF of Numerators as per given numbers 1615/971, 9785/101 is
GCF of Numerators i.e. for 1615,9785 is 95
LCM of denominators i.e. for 971,101 is 98071.
Thus, GCF of Fractions is 95/98071.Finally, GCF of Fractions for 1615/971, 9785/101 is 95/98071.