GCF of 1131/894, 4875/555
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1131/894, 4875/555 i.e 39/165390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1131/894, 4875/555.
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 1131/894,4875/555?
Given fractions are 1131/894,4875/555
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 1131/894,4875/555, numerators are 1131,4875
Denominators are 894,555
The GCF of 1131,4875 is 39 .
LCM of 894,555 is 165390.
The greatest common factor of 1131/894,4875/555 = [GCF of 1131,4875]/[LCM of 894,555]= 39/165390
Therefore, the GCF of 1131/894,4875/555 is 39/165390.
To find the highest common factor of 1131,4875, we have to find the factors of both numbers and list the highest common factor.
The factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131
The factors of 4875 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875
The HCF of 1131,4875 is 39.
Lets's calculate GCF of 1131,4875
| 3 | 1131, 4875 |
| 13 | 377, 1625 |
| 29, 125 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 1131,4875 By Matching Biggest Common Factor Method
Now, list down the factors of 1131
:1,3,13,29,39,87,377,1131
Now, list down the factors of 4875
:1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875
Greatest Common Factor
We found the factors 1131,4875 . The biggest common factor number is the GCF number.
So the greatest common factor 1131,4875 is 39.
Lets's calculate LCM of 894,555
| 3 | 894, 555 |
| 298, 185 |
∴ So the LCM of the given numbers is 3 x 298 x 185 = 165390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/165390
Therefore, the GCF of Fractions 1131/894,4875/555 is 39/165390
Least Common Multiple of 894,555 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 894,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,555) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(894,555) x common factors =3 x 1 = 3
LCM(894,555) = ( 894 × 555 ) / 3
LCM(894,555) = 496170 / 3
LCM(894,555) = 165390
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FAQs on GCF of Fractions of 1131/894, 4875/555
1. What is the HCF of 1131,4875?
The HCF of 1131,4875 is 39
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 1131/894, 4875/555?
Answer: GCF of Numerators as per given numbers 1131/894, 4875/555 is
GCF of Numerators i.e. for 1131,4875 is 39
LCM of denominators i.e. for 894,555 is 165390.
Thus, GCF of Fractions is 39/165390.Finally, GCF of Fractions for 1131/894, 4875/555 is 39/165390.