GCF of 7497/983, 8628/9267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7497/983, 8628/9267 i.e 3/9109461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7497/983, 8628/9267.
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 7497/983,8628/9267?
Given fractions are 7497/983,8628/9267
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 7497/983,8628/9267, numerators are 7497,8628
Denominators are 983,9267
The GCF of 7497,8628 is 3 .
LCM of 983,9267 is 9109461.
The greatest common factor of 7497/983,8628/9267 = [GCF of 7497,8628]/[LCM of 983,9267]= 3/9109461
Therefore, the GCF of 7497/983,8628/9267 is 3/9109461.
To find the highest common factor of 7497,8628, we have to find the factors of both numbers and list the highest common factor.
The factors of 7497 are 1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497
The factors of 8628 are 1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628
The HCF of 7497,8628 is 3.
Lets's calculate GCF of 7497,8628
| 3 | 7497, 8628 |
| 2499, 2876 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7497,8628 By Matching Biggest Common Factor Method
Now, list down the factors of 7497
:1,3,7,9,17,21,49,51,63,119,147,153,357,441,833,1071,2499,7497
Now, list down the factors of 8628
:1,2,3,4,6,12,719,1438,2157,2876,4314,8628
Greatest Common Factor
We found the factors 7497,8628 . The biggest common factor number is the GCF number.
So the greatest common factor 7497,8628 is 3.
Lets's calculate LCM of 983,9267
Given numbers has no common factors except 1. So, there LCM is their product i.e 9109461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9109461
Therefore, the GCF of Fractions 7497/983,8628/9267 is 3/9109461
Least Common Multiple of 983,9267 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 983,9267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,9267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,9267) x common factors =1 x 1 = 1
LCM(983,9267) = ( 983 × 9267 ) / 1
LCM(983,9267) = 9109461 / 1
LCM(983,9267) = 9109461
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FAQs on GCF of Fractions of 7497/983, 8628/9267
1. What is the HCF of 7497,8628?
The HCF of 7497,8628 is 3
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 7497/983, 8628/9267?
Answer: GCF of Numerators as per given numbers 7497/983, 8628/9267 is
GCF of Numerators i.e. for 7497,8628 is 3
LCM of denominators i.e. for 983,9267 is 9109461.
Thus, GCF of Fractions is 3/9109461.Finally, GCF of Fractions for 7497/983, 8628/9267 is 3/9109461.