GCF of 8848/790, 9685/965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8848/790, 9685/965 i.e 1/152470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8848/790, 9685/965.
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 8848/790,9685/965?
Given fractions are 8848/790,9685/965
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 8848/790,9685/965, numerators are 8848,9685
Denominators are 790,965
The GCF of 8848,9685 is 1 .
LCM of 790,965 is 152470.
The greatest common factor of 8848/790,9685/965 = [GCF of 8848,9685]/[LCM of 790,965]= 1/152470
Therefore, the GCF of 8848/790,9685/965 is 1/152470.
To find the highest common factor of 8848,9685, we have to find the factors of both numbers and list the highest common factor.
The factors of 8848 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424, 8848
The factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685
The HCF of 8848,9685 is 1.
Lets's calculate GCF of 8848,9685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8848,9685 By Matching Biggest Common Factor Method
Now, list down the factors of 8848
:1,2,4,7,8,14,16,28,56,79,112,158,316,553,632,1106,1264,2212,4424,8848
Now, list down the factors of 9685
:1,5,13,65,149,745,1937,9685
Greatest Common Factor
We found the factors 8848,9685 . The biggest common factor number is the GCF number.
So the greatest common factor 8848,9685 is 1.
Lets's calculate LCM of 790,965
| 5 | 790, 965 |
| 158, 193 |
∴ So the LCM of the given numbers is 5 x 158 x 193 = 152470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152470
Therefore, the GCF of Fractions 8848/790,9685/965 is 1/152470
Least Common Multiple of 790,965 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 790,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,965) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(790,965) x common factors =5 x 1 = 5
LCM(790,965) = ( 790 × 965 ) / 5
LCM(790,965) = 762350 / 5
LCM(790,965) = 152470
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FAQs on GCF of Fractions of 8848/790, 9685/965
1. What is the HCF of 8848,9685?
The HCF of 8848,9685 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 8848/790, 9685/965?
Answer: GCF of Numerators as per given numbers 8848/790, 9685/965 is
GCF of Numerators i.e. for 8848,9685 is 1
LCM of denominators i.e. for 790,965 is 152470.
Thus, GCF of Fractions is 1/152470.Finally, GCF of Fractions for 8848/790, 9685/965 is 1/152470.