GCF of 907/386, 523/936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 907/386, 523/936 i.e 1/180648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/386, 523/936.
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 907/386,523/936?
Given fractions are 907/386,523/936
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 907/386,523/936, numerators are 907,523
Denominators are 386,936
The GCF of 907,523 is 1 .
LCM of 386,936 is 180648.
The greatest common factor of 907/386,523/936 = [GCF of 907,523]/[LCM of 386,936]= 1/180648
Therefore, the GCF of 907/386,523/936 is 1/180648.
To find the highest common factor of 907,523, we have to find the factors of both numbers and list the highest common factor.
The factors of 907 are 1, 907
The factors of 523 are 1, 523
The HCF of 907,523 is 1.
Lets's calculate GCF of 907,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 907,523 By Matching Biggest Common Factor Method
Now, list down the factors of 907
:1,907
Now, list down the factors of 523
:1,523
Greatest Common Factor
We found the factors 907,523 . The biggest common factor number is the GCF number.
So the greatest common factor 907,523 is 1.
Lets's calculate LCM of 386,936
| 2 | 386, 936 |
| 193, 468 |
∴ So the LCM of the given numbers is 2 x 193 x 468 = 180648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180648
Therefore, the GCF of Fractions 907/386,523/936 is 1/180648
Least Common Multiple of 386,936 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 386,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,936) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,936) x common factors =2 x 1 = 2
LCM(386,936) = ( 386 × 936 ) / 2
LCM(386,936) = 361296 / 2
LCM(386,936) = 180648
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FAQs on GCF of Fractions of 907/386, 523/936
1. What is the HCF of 907,523?
The HCF of 907,523 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 907/386, 523/936?
Answer: GCF of Numerators as per given numbers 907/386, 523/936 is
GCF of Numerators i.e. for 907,523 is 1
LCM of denominators i.e. for 386,936 is 180648.
Thus, GCF of Fractions is 1/180648.Finally, GCF of Fractions for 907/386, 523/936 is 1/180648.