GCF of 5736/360, 7646/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5736/360, 7646/922 i.e 2/165960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5736/360, 7646/922.
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 5736/360,7646/922?
Given fractions are 5736/360,7646/922
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 5736/360,7646/922, numerators are 5736,7646
Denominators are 360,922
The GCF of 5736,7646 is 2 .
LCM of 360,922 is 165960.
The greatest common factor of 5736/360,7646/922 = [GCF of 5736,7646]/[LCM of 360,922]= 2/165960
Therefore, the GCF of 5736/360,7646/922 is 2/165960.
To find the highest common factor of 5736,7646, we have to find the factors of both numbers and list the highest common factor.
The factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736
The factors of 7646 are 1, 2, 3823, 7646
The HCF of 5736,7646 is 2.
Lets's calculate GCF of 5736,7646
| 2 | 5736, 7646 |
| 2868, 3823 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5736,7646 By Matching Biggest Common Factor Method
Now, list down the factors of 5736
:1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736
Now, list down the factors of 7646
:1,2,3823,7646
Greatest Common Factor
We found the factors 5736,7646 . The biggest common factor number is the GCF number.
So the greatest common factor 5736,7646 is 2.
Lets's calculate LCM of 360,922
| 2 | 360, 922 |
| 180, 461 |
∴ So the LCM of the given numbers is 2 x 180 x 461 = 165960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165960
Therefore, the GCF of Fractions 5736/360,7646/922 is 2/165960
Least Common Multiple of 360,922 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 360,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(360,922) x common factors =2 x 1 = 2
LCM(360,922) = ( 360 × 922 ) / 2
LCM(360,922) = 331920 / 2
LCM(360,922) = 165960
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FAQs on GCF of Fractions of 5736/360, 7646/922
1. What is the HCF of 5736,7646?
The HCF of 5736,7646 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 5736/360, 7646/922?
Answer: GCF of Numerators as per given numbers 5736/360, 7646/922 is
GCF of Numerators i.e. for 5736,7646 is 2
LCM of denominators i.e. for 360,922 is 165960.
Thus, GCF of Fractions is 2/165960.Finally, GCF of Fractions for 5736/360, 7646/922 is 2/165960.