GCF of 7708/277, 3186/772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7708/277, 3186/772 i.e 2/213844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7708/277, 3186/772.
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 7708/277,3186/772?
Given fractions are 7708/277,3186/772
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 7708/277,3186/772, numerators are 7708,3186
Denominators are 277,772
The GCF of 7708,3186 is 2 .
LCM of 277,772 is 213844.
The greatest common factor of 7708/277,3186/772 = [GCF of 7708,3186]/[LCM of 277,772]= 2/213844
Therefore, the GCF of 7708/277,3186/772 is 2/213844.
To find the highest common factor of 7708,3186, we have to find the factors of both numbers and list the highest common factor.
The factors of 7708 are 1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708
The factors of 3186 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186
The HCF of 7708,3186 is 2.
Lets's calculate GCF of 7708,3186
| 2 | 7708, 3186 |
| 3854, 1593 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7708,3186 By Matching Biggest Common Factor Method
Now, list down the factors of 7708
:1,2,4,41,47,82,94,164,188,1927,3854,7708
Now, list down the factors of 3186
:1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186
Greatest Common Factor
We found the factors 7708,3186 . The biggest common factor number is the GCF number.
So the greatest common factor 7708,3186 is 2.
Lets's calculate LCM of 277,772
Given numbers has no common factors except 1. So, there LCM is their product i.e 213844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/213844
Therefore, the GCF of Fractions 7708/277,3186/772 is 2/213844
Least Common Multiple of 277,772 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 277,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,772) x common factors =1 x 1 = 1
LCM(277,772) = ( 277 × 772 ) / 1
LCM(277,772) = 213844 / 1
LCM(277,772) = 213844
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7708/277, 3186/772
1. What is the HCF of 7708,3186?
The HCF of 7708,3186 is 2
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 7708/277, 3186/772?
Answer: GCF of Numerators as per given numbers 7708/277, 3186/772 is
GCF of Numerators i.e. for 7708,3186 is 2
LCM of denominators i.e. for 277,772 is 213844.
Thus, GCF of Fractions is 2/213844.Finally, GCF of Fractions for 7708/277, 3186/772 is 2/213844.