GCF of 9635/750, 8802/234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9635/750, 8802/234 i.e 1/29250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9635/750, 8802/234.
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 9635/750,8802/234?
Given fractions are 9635/750,8802/234
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 9635/750,8802/234, numerators are 9635,8802
Denominators are 750,234
The GCF of 9635,8802 is 1 .
LCM of 750,234 is 29250.
The greatest common factor of 9635/750,8802/234 = [GCF of 9635,8802]/[LCM of 750,234]= 1/29250
Therefore, the GCF of 9635/750,8802/234 is 1/29250.
To find the highest common factor of 9635,8802, we have to find the factors of both numbers and list the highest common factor.
The factors of 9635 are 1, 5, 41, 47, 205, 235, 1927, 9635
The factors of 8802 are 1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802
The HCF of 9635,8802 is 1.
Lets's calculate GCF of 9635,8802
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9635,8802 By Matching Biggest Common Factor Method
Now, list down the factors of 9635
:1,5,41,47,205,235,1927,9635
Now, list down the factors of 8802
:1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802
Greatest Common Factor
We found the factors 9635,8802 . The biggest common factor number is the GCF number.
So the greatest common factor 9635,8802 is 1.
Lets's calculate LCM of 750,234
| 2 | 750, 234 |
| 3 | 375, 117 |
| 125, 39 |
∴ So the LCM of the given numbers is 2 x 3 x 125 x 39 = 29250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29250
Therefore, the GCF of Fractions 9635/750,8802/234 is 1/29250
Least Common Multiple of 750,234 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 750,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,234) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(750,234) x common factors =6 x 1 = 6
LCM(750,234) = ( 750 × 234 ) / 6
LCM(750,234) = 175500 / 6
LCM(750,234) = 29250
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FAQs on GCF of Fractions of 9635/750, 8802/234
1. What is the HCF of 9635,8802?
The HCF of 9635,8802 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 9635/750, 8802/234?
Answer: GCF of Numerators as per given numbers 9635/750, 8802/234 is
GCF of Numerators i.e. for 9635,8802 is 1
LCM of denominators i.e. for 750,234 is 29250.
Thus, GCF of Fractions is 1/29250.Finally, GCF of Fractions for 9635/750, 8802/234 is 1/29250.