GCF of 3951/748, 5783/1465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3951/748, 5783/1465 i.e 1/1095820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3951/748, 5783/1465.
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 3951/748,5783/1465?
Given fractions are 3951/748,5783/1465
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 3951/748,5783/1465, numerators are 3951,5783
Denominators are 748,1465
The GCF of 3951,5783 is 1 .
LCM of 748,1465 is 1095820.
The greatest common factor of 3951/748,5783/1465 = [GCF of 3951,5783]/[LCM of 748,1465]= 1/1095820
Therefore, the GCF of 3951/748,5783/1465 is 1/1095820.
To find the highest common factor of 3951,5783, we have to find the factors of both numbers and list the highest common factor.
The factors of 3951 are 1, 3, 9, 439, 1317, 3951
The factors of 5783 are 1, 5783
The HCF of 3951,5783 is 1.
Lets's calculate GCF of 3951,5783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3951,5783 By Matching Biggest Common Factor Method
Now, list down the factors of 3951
:1,3,9,439,1317,3951
Now, list down the factors of 5783
:1,5783
Greatest Common Factor
We found the factors 3951,5783 . The biggest common factor number is the GCF number.
So the greatest common factor 3951,5783 is 1.
Lets's calculate LCM of 748,1465
Given numbers has no common factors except 1. So, there LCM is their product i.e 1095820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1095820
Therefore, the GCF of Fractions 3951/748,5783/1465 is 1/1095820
Least Common Multiple of 748,1465 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 748,1465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,1465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,1465) x common factors =1 x 1 = 1
LCM(748,1465) = ( 748 × 1465 ) / 1
LCM(748,1465) = 1095820 / 1
LCM(748,1465) = 1095820
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FAQs on GCF of Fractions of 3951/748, 5783/1465
1. What is the HCF of 3951,5783?
The HCF of 3951,5783 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 3951/748, 5783/1465?
Answer: GCF of Numerators as per given numbers 3951/748, 5783/1465 is
GCF of Numerators i.e. for 3951,5783 is 1
LCM of denominators i.e. for 748,1465 is 1095820.
Thus, GCF of Fractions is 1/1095820.Finally, GCF of Fractions for 3951/748, 5783/1465 is 1/1095820.