GCF of 9155/636, 8435/3354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9155/636, 8435/3354 i.e 5/355524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9155/636, 8435/3354.
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 9155/636,8435/3354?
Given fractions are 9155/636,8435/3354
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 9155/636,8435/3354, numerators are 9155,8435
Denominators are 636,3354
The GCF of 9155,8435 is 5 .
LCM of 636,3354 is 355524.
The greatest common factor of 9155/636,8435/3354 = [GCF of 9155,8435]/[LCM of 636,3354]= 5/355524
Therefore, the GCF of 9155/636,8435/3354 is 5/355524.
To find the highest common factor of 9155,8435, we have to find the factors of both numbers and list the highest common factor.
The factors of 9155 are 1, 5, 1831, 9155
The factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435
The HCF of 9155,8435 is 5.
Lets's calculate GCF of 9155,8435
| 5 | 9155, 8435 |
| 1831, 1687 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9155,8435 By Matching Biggest Common Factor Method
Now, list down the factors of 9155
:1,5,1831,9155
Now, list down the factors of 8435
:1,5,7,35,241,1205,1687,8435
Greatest Common Factor
We found the factors 9155,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 9155,8435 is 5.
Lets's calculate LCM of 636,3354
| 2 | 636, 3354 |
| 3 | 318, 1677 |
| 106, 559 |
∴ So the LCM of the given numbers is 2 x 3 x 106 x 559 = 355524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/355524
Therefore, the GCF of Fractions 9155/636,8435/3354 is 5/355524
Least Common Multiple of 636,3354 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 636,3354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,3354) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(636,3354) x common factors =6 x 1 = 6
LCM(636,3354) = ( 636 × 3354 ) / 6
LCM(636,3354) = 2133144 / 6
LCM(636,3354) = 355524
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9155/636, 8435/3354
1. What is the HCF of 9155,8435?
The HCF of 9155,8435 is 5
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 9155/636, 8435/3354?
Answer: GCF of Numerators as per given numbers 9155/636, 8435/3354 is
GCF of Numerators i.e. for 9155,8435 is 5
LCM of denominators i.e. for 636,3354 is 355524.
Thus, GCF of Fractions is 5/355524.Finally, GCF of Fractions for 9155/636, 8435/3354 is 5/355524.