GCF of 7688/577, 2970/5289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7688/577, 2970/5289 i.e 2/3051753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7688/577, 2970/5289.
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 7688/577,2970/5289?
Given fractions are 7688/577,2970/5289
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 7688/577,2970/5289, numerators are 7688,2970
Denominators are 577,5289
The GCF of 7688,2970 is 2 .
LCM of 577,5289 is 3051753.
The greatest common factor of 7688/577,2970/5289 = [GCF of 7688,2970]/[LCM of 577,5289]= 2/3051753
Therefore, the GCF of 7688/577,2970/5289 is 2/3051753.
To find the highest common factor of 7688,2970, we have to find the factors of both numbers and list the highest common factor.
The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
The HCF of 7688,2970 is 2.
Lets's calculate GCF of 7688,2970
| 2 | 7688, 2970 |
| 3844, 1485 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7688,2970 By Matching Biggest Common Factor Method
Now, list down the factors of 7688
:1,2,4,8,31,62,124,248,961,1922,3844,7688
Now, list down the factors of 2970
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Greatest Common Factor
We found the factors 7688,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 7688,2970 is 2.
Lets's calculate LCM of 577,5289
Given numbers has no common factors except 1. So, there LCM is their product i.e 3051753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3051753
Therefore, the GCF of Fractions 7688/577,2970/5289 is 2/3051753
Least Common Multiple of 577,5289 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 577,5289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,5289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,5289) x common factors =1 x 1 = 1
LCM(577,5289) = ( 577 × 5289 ) / 1
LCM(577,5289) = 3051753 / 1
LCM(577,5289) = 3051753
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7688/577, 2970/5289
1. What is the HCF of 7688,2970?
The HCF of 7688,2970 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 7688/577, 2970/5289?
Answer: GCF of Numerators as per given numbers 7688/577, 2970/5289 is
GCF of Numerators i.e. for 7688,2970 is 2
LCM of denominators i.e. for 577,5289 is 3051753.
Thus, GCF of Fractions is 2/3051753.Finally, GCF of Fractions for 7688/577, 2970/5289 is 2/3051753.