GCF of 7097/302, 9720/1008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7097/302, 9720/1008 i.e 1/152208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7097/302, 9720/1008.
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 7097/302,9720/1008?
Given fractions are 7097/302,9720/1008
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 7097/302,9720/1008, numerators are 7097,9720
Denominators are 302,1008
The GCF of 7097,9720 is 1 .
LCM of 302,1008 is 152208.
The greatest common factor of 7097/302,9720/1008 = [GCF of 7097,9720]/[LCM of 302,1008]= 1/152208
Therefore, the GCF of 7097/302,9720/1008 is 1/152208.
To find the highest common factor of 7097,9720, we have to find the factors of both numbers and list the highest common factor.
The factors of 7097 are 1, 47, 151, 7097
The factors of 9720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720
The HCF of 7097,9720 is 1.
Lets's calculate GCF of 7097,9720
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7097,9720 By Matching Biggest Common Factor Method
Now, list down the factors of 7097
:1,47,151,7097
Now, list down the factors of 9720
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720
Greatest Common Factor
We found the factors 7097,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 7097,9720 is 1.
Lets's calculate LCM of 302,1008
| 2 | 302, 1008 |
| 151, 504 |
∴ So the LCM of the given numbers is 2 x 151 x 504 = 152208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152208
Therefore, the GCF of Fractions 7097/302,9720/1008 is 1/152208
Least Common Multiple of 302,1008 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 302,1008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,1008) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,1008) x common factors =2 x 1 = 2
LCM(302,1008) = ( 302 × 1008 ) / 2
LCM(302,1008) = 304416 / 2
LCM(302,1008) = 152208
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7097/302, 9720/1008
1. What is the HCF of 7097,9720?
The HCF of 7097,9720 is 1
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 7097/302, 9720/1008?
Answer: GCF of Numerators as per given numbers 7097/302, 9720/1008 is
GCF of Numerators i.e. for 7097,9720 is 1
LCM of denominators i.e. for 302,1008 is 152208.
Thus, GCF of Fractions is 1/152208.Finally, GCF of Fractions for 7097/302, 9720/1008 is 1/152208.