GCF of 3687/944, 7583/5926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3687/944, 7583/5926 i.e 1/2797072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3687/944, 7583/5926.
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 3687/944,7583/5926?
Given fractions are 3687/944,7583/5926
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 3687/944,7583/5926, numerators are 3687,7583
Denominators are 944,5926
The GCF of 3687,7583 is 1 .
LCM of 944,5926 is 2797072.
The greatest common factor of 3687/944,7583/5926 = [GCF of 3687,7583]/[LCM of 944,5926]= 1/2797072
Therefore, the GCF of 3687/944,7583/5926 is 1/2797072.
To find the highest common factor of 3687,7583, we have to find the factors of both numbers and list the highest common factor.
The factors of 3687 are 1, 3, 1229, 3687
The factors of 7583 are 1, 7583
The HCF of 3687,7583 is 1.
Lets's calculate GCF of 3687,7583
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3687,7583 By Matching Biggest Common Factor Method
Now, list down the factors of 3687
:1,3,1229,3687
Now, list down the factors of 7583
:1,7583
Greatest Common Factor
We found the factors 3687,7583 . The biggest common factor number is the GCF number.
So the greatest common factor 3687,7583 is 1.
Lets's calculate LCM of 944,5926
| 2 | 944, 5926 |
| 472, 2963 |
∴ So the LCM of the given numbers is 2 x 472 x 2963 = 2797072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2797072
Therefore, the GCF of Fractions 3687/944,7583/5926 is 1/2797072
Least Common Multiple of 944,5926 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 944,5926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,5926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(944,5926) x common factors =2 x 1 = 2
LCM(944,5926) = ( 944 × 5926 ) / 2
LCM(944,5926) = 5594144 / 2
LCM(944,5926) = 2797072
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FAQs on GCF of Fractions of 3687/944, 7583/5926
1. What is the HCF of 3687,7583?
The HCF of 3687,7583 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 3687/944, 7583/5926?
Answer: GCF of Numerators as per given numbers 3687/944, 7583/5926 is
GCF of Numerators i.e. for 3687,7583 is 1
LCM of denominators i.e. for 944,5926 is 2797072.
Thus, GCF of Fractions is 1/2797072.Finally, GCF of Fractions for 3687/944, 7583/5926 is 1/2797072.