GCF of 7795/216, 6785/3127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7795/216, 6785/3127 i.e 5/675432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7795/216, 6785/3127.
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 7795/216,6785/3127?
Given fractions are 7795/216,6785/3127
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 7795/216,6785/3127, numerators are 7795,6785
Denominators are 216,3127
The GCF of 7795,6785 is 5 .
LCM of 216,3127 is 675432.
The greatest common factor of 7795/216,6785/3127 = [GCF of 7795,6785]/[LCM of 216,3127]= 5/675432
Therefore, the GCF of 7795/216,6785/3127 is 5/675432.
To find the highest common factor of 7795,6785, we have to find the factors of both numbers and list the highest common factor.
The factors of 7795 are 1, 5, 1559, 7795
The factors of 6785 are 1, 5, 23, 59, 115, 295, 1357, 6785
The HCF of 7795,6785 is 5.
Lets's calculate GCF of 7795,6785
| 5 | 7795, 6785 |
| 1559, 1357 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7795,6785 By Matching Biggest Common Factor Method
Now, list down the factors of 7795
:1,5,1559,7795
Now, list down the factors of 6785
:1,5,23,59,115,295,1357,6785
Greatest Common Factor
We found the factors 7795,6785 . The biggest common factor number is the GCF number.
So the greatest common factor 7795,6785 is 5.
Lets's calculate LCM of 216,3127
Given numbers has no common factors except 1. So, there LCM is their product i.e 675432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/675432
Therefore, the GCF of Fractions 7795/216,6785/3127 is 5/675432
Least Common Multiple of 216,3127 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 216,3127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,3127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(216,3127) x common factors =1 x 1 = 1
LCM(216,3127) = ( 216 × 3127 ) / 1
LCM(216,3127) = 675432 / 1
LCM(216,3127) = 675432
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FAQs on GCF of Fractions of 7795/216, 6785/3127
1. What is the HCF of 7795,6785?
The HCF of 7795,6785 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 7795/216, 6785/3127?
Answer: GCF of Numerators as per given numbers 7795/216, 6785/3127 is
GCF of Numerators i.e. for 7795,6785 is 5
LCM of denominators i.e. for 216,3127 is 675432.
Thus, GCF of Fractions is 5/675432.Finally, GCF of Fractions for 7795/216, 6785/3127 is 5/675432.