GCF of 9507/748, 8894/1700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9507/748, 8894/1700 i.e 1/18700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9507/748, 8894/1700.
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 9507/748,8894/1700?
Given fractions are 9507/748,8894/1700
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 9507/748,8894/1700, numerators are 9507,8894
Denominators are 748,1700
The GCF of 9507,8894 is 1 .
LCM of 748,1700 is 18700.
The greatest common factor of 9507/748,8894/1700 = [GCF of 9507,8894]/[LCM of 748,1700]= 1/18700
Therefore, the GCF of 9507/748,8894/1700 is 1/18700.
To find the highest common factor of 9507,8894, we have to find the factors of both numbers and list the highest common factor.
The factors of 9507 are 1, 3, 3169, 9507
The factors of 8894 are 1, 2, 4447, 8894
The HCF of 9507,8894 is 1.
Lets's calculate GCF of 9507,8894
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9507,8894 By Matching Biggest Common Factor Method
Now, list down the factors of 9507
:1,3,3169,9507
Now, list down the factors of 8894
:1,2,4447,8894
Greatest Common Factor
We found the factors 9507,8894 . The biggest common factor number is the GCF number.
So the greatest common factor 9507,8894 is 1.
Lets's calculate LCM of 748,1700
| 2 | 748, 1700 |
| 2 | 374, 850 |
| 17 | 187, 425 |
| 11, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 11 x 25 = 18700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18700
Therefore, the GCF of Fractions 9507/748,8894/1700 is 1/18700
Least Common Multiple of 748,1700 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 748,1700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,1700) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(748,1700) x common factors =68 x 1 = 68
LCM(748,1700) = ( 748 × 1700 ) / 68
LCM(748,1700) = 1271600 / 68
LCM(748,1700) = 18700
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FAQs on GCF of Fractions of 9507/748, 8894/1700
1. What is the HCF of 9507,8894?
The HCF of 9507,8894 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 9507/748, 8894/1700?
Answer: GCF of Numerators as per given numbers 9507/748, 8894/1700 is
GCF of Numerators i.e. for 9507,8894 is 1
LCM of denominators i.e. for 748,1700 is 18700.
Thus, GCF of Fractions is 1/18700.Finally, GCF of Fractions for 9507/748, 8894/1700 is 1/18700.