GCF of 4195/615, 8260/8076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4195/615, 8260/8076 i.e 5/1655580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4195/615, 8260/8076.
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 4195/615,8260/8076?
Given fractions are 4195/615,8260/8076
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 4195/615,8260/8076, numerators are 4195,8260
Denominators are 615,8076
The GCF of 4195,8260 is 5 .
LCM of 615,8076 is 1655580.
The greatest common factor of 4195/615,8260/8076 = [GCF of 4195,8260]/[LCM of 615,8076]= 5/1655580
Therefore, the GCF of 4195/615,8260/8076 is 5/1655580.
To find the highest common factor of 4195,8260, we have to find the factors of both numbers and list the highest common factor.
The factors of 4195 are 1, 5, 839, 4195
The factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260
The HCF of 4195,8260 is 5.
Lets's calculate GCF of 4195,8260
| 5 | 4195, 8260 |
| 839, 1652 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4195,8260 By Matching Biggest Common Factor Method
Now, list down the factors of 4195
:1,5,839,4195
Now, list down the factors of 8260
:1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Greatest Common Factor
We found the factors 4195,8260 . The biggest common factor number is the GCF number.
So the greatest common factor 4195,8260 is 5.
Lets's calculate LCM of 615,8076
| 3 | 615, 8076 |
| 205, 2692 |
∴ So the LCM of the given numbers is 3 x 205 x 2692 = 1655580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1655580
Therefore, the GCF of Fractions 4195/615,8260/8076 is 5/1655580
Least Common Multiple of 615,8076 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 615,8076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,8076) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(615,8076) x common factors =3 x 1 = 3
LCM(615,8076) = ( 615 × 8076 ) / 3
LCM(615,8076) = 4966740 / 3
LCM(615,8076) = 1655580
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FAQs on GCF of Fractions of 4195/615, 8260/8076
1. What is the HCF of 4195,8260?
The HCF of 4195,8260 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 4195/615, 8260/8076?
Answer: GCF of Numerators as per given numbers 4195/615, 8260/8076 is
GCF of Numerators i.e. for 4195,8260 is 5
LCM of denominators i.e. for 615,8076 is 1655580.
Thus, GCF of Fractions is 5/1655580.Finally, GCF of Fractions for 4195/615, 8260/8076 is 5/1655580.