GCF of 7655/659, 8270/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7655/659, 8270/130 i.e 5/85670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7655/659, 8270/130.
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 7655/659,8270/130?
Given fractions are 7655/659,8270/130
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 7655/659,8270/130, numerators are 7655,8270
Denominators are 659,130
The GCF of 7655,8270 is 5 .
LCM of 659,130 is 85670.
The greatest common factor of 7655/659,8270/130 = [GCF of 7655,8270]/[LCM of 659,130]= 5/85670
Therefore, the GCF of 7655/659,8270/130 is 5/85670.
To find the highest common factor of 7655,8270, we have to find the factors of both numbers and list the highest common factor.
The factors of 7655 are 1, 5, 1531, 7655
The factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270
The HCF of 7655,8270 is 5.
Lets's calculate GCF of 7655,8270
| 5 | 7655, 8270 |
| 1531, 1654 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7655,8270 By Matching Biggest Common Factor Method
Now, list down the factors of 7655
:1,5,1531,7655
Now, list down the factors of 8270
:1,2,5,10,827,1654,4135,8270
Greatest Common Factor
We found the factors 7655,8270 . The biggest common factor number is the GCF number.
So the greatest common factor 7655,8270 is 5.
Lets's calculate LCM of 659,130
Given numbers has no common factors except 1. So, there LCM is their product i.e 85670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/85670
Therefore, the GCF of Fractions 7655/659,8270/130 is 5/85670
Least Common Multiple of 659,130 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 659,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,130) x common factors =1 x 1 = 1
LCM(659,130) = ( 659 × 130 ) / 1
LCM(659,130) = 85670 / 1
LCM(659,130) = 85670
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FAQs on GCF of Fractions of 7655/659, 8270/130
1. What is the HCF of 7655,8270?
The HCF of 7655,8270 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 7655/659, 8270/130?
Answer: GCF of Numerators as per given numbers 7655/659, 8270/130 is
GCF of Numerators i.e. for 7655,8270 is 5
LCM of denominators i.e. for 659,130 is 85670.
Thus, GCF of Fractions is 5/85670.Finally, GCF of Fractions for 7655/659, 8270/130 is 5/85670.