GCF of 195/965, 7840/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 195/965, 7840/170 i.e 5/32810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 195/965, 7840/170.
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 195/965,7840/170?
Given fractions are 195/965,7840/170
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 195/965,7840/170, numerators are 195,7840
Denominators are 965,170
The GCF of 195,7840 is 5 .
LCM of 965,170 is 32810.
The greatest common factor of 195/965,7840/170 = [GCF of 195,7840]/[LCM of 965,170]= 5/32810
Therefore, the GCF of 195/965,7840/170 is 5/32810.
To find the highest common factor of 195,7840, we have to find the factors of both numbers and list the highest common factor.
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The factors of 7840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840
The HCF of 195,7840 is 5.
Lets's calculate GCF of 195,7840
| 5 | 195, 7840 |
| 39, 1568 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 195,7840 By Matching Biggest Common Factor Method
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Now, list down the factors of 7840
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840
Greatest Common Factor
We found the factors 195,7840 . The biggest common factor number is the GCF number.
So the greatest common factor 195,7840 is 5.
Lets's calculate LCM of 965,170
| 5 | 965, 170 |
| 193, 34 |
∴ So the LCM of the given numbers is 5 x 193 x 34 = 32810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/32810
Therefore, the GCF of Fractions 195/965,7840/170 is 5/32810
Least Common Multiple of 965,170 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 965,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,170) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(965,170) x common factors =5 x 1 = 5
LCM(965,170) = ( 965 × 170 ) / 5
LCM(965,170) = 164050 / 5
LCM(965,170) = 32810
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FAQs on GCF of Fractions of 195/965, 7840/170
1. What is the HCF of 195,7840?
The HCF of 195,7840 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 195/965, 7840/170?
Answer: GCF of Numerators as per given numbers 195/965, 7840/170 is
GCF of Numerators i.e. for 195,7840 is 5
LCM of denominators i.e. for 965,170 is 32810.
Thus, GCF of Fractions is 5/32810.Finally, GCF of Fractions for 195/965, 7840/170 is 5/32810.