GCF of 5894/165, 9208/537
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5894/165, 9208/537 i.e 2/29535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5894/165, 9208/537.
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 5894/165,9208/537?
Given fractions are 5894/165,9208/537
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 5894/165,9208/537, numerators are 5894,9208
Denominators are 165,537
The GCF of 5894,9208 is 2 .
LCM of 165,537 is 29535.
The greatest common factor of 5894/165,9208/537 = [GCF of 5894,9208]/[LCM of 165,537]= 2/29535
Therefore, the GCF of 5894/165,9208/537 is 2/29535.
To find the highest common factor of 5894,9208, we have to find the factors of both numbers and list the highest common factor.
The factors of 5894 are 1, 2, 7, 14, 421, 842, 2947, 5894
The factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208
The HCF of 5894,9208 is 2.
Lets's calculate GCF of 5894,9208
| 2 | 5894, 9208 |
| 2947, 4604 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5894,9208 By Matching Biggest Common Factor Method
Now, list down the factors of 5894
:1,2,7,14,421,842,2947,5894
Now, list down the factors of 9208
:1,2,4,8,1151,2302,4604,9208
Greatest Common Factor
We found the factors 5894,9208 . The biggest common factor number is the GCF number.
So the greatest common factor 5894,9208 is 2.
Lets's calculate LCM of 165,537
| 3 | 165, 537 |
| 55, 179 |
∴ So the LCM of the given numbers is 3 x 55 x 179 = 29535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29535
Therefore, the GCF of Fractions 5894/165,9208/537 is 2/29535
Least Common Multiple of 165,537 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 165,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,537) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(165,537) x common factors =3 x 1 = 3
LCM(165,537) = ( 165 × 537 ) / 3
LCM(165,537) = 88605 / 3
LCM(165,537) = 29535
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FAQs on GCF of Fractions of 5894/165, 9208/537
1. What is the HCF of 5894,9208?
The HCF of 5894,9208 is 2
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 5894/165, 9208/537?
Answer: GCF of Numerators as per given numbers 5894/165, 9208/537 is
GCF of Numerators i.e. for 5894,9208 is 2
LCM of denominators i.e. for 165,537 is 29535.
Thus, GCF of Fractions is 2/29535.Finally, GCF of Fractions for 5894/165, 9208/537 is 2/29535.