GCF of 39/91, 375/46, 823/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/91, 375/46, 823/757 i.e 1/3168802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/91, 375/46, 823/757.
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 39/91,375/46,823/757?
Given fractions are 39/91,375/46,823/757
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 39/91,375/46,823/757, numerators are 39,375,823
Denominators are 91,46,757
The GCF of 39,375,823 is 1 .
LCM of 91,46,757 is 3168802.
The greatest common factor of 39/91,375/46,823/757 = [GCF of 39,375,823]/[LCM of 91,46,757]= 1/3168802
Therefore, the GCF of 39/91,375/46,823/757 is 1/3168802.
To find the highest common factor of 39,375,823, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 823 are 1, 823
The HCF of 39,375,823 is 1.
Lets's calculate GCF of 39,375,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,375,823 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 823
:1,823
Greatest Common Factor
We found the factors 39,375,823 . The biggest common factor number is the GCF number.
So the greatest common factor 39,375,823 is 1.
Lets's calculate LCM of 91,46,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 3168802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3168802
Therefore, the GCF of Fractions 39/91,375/46,823/757 is 1/3168802
Least Common Multiple of 91,46,757 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 91,46,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,46,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,46,757) x common factors =1 x 1 = 1
LCM(91,46,757) = ( 91 × 46 × 757 ) / 1
LCM(91,46,757) = 3168802 / 1
LCM(91,46,757) = 3168802
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FAQs on GCF of Fractions of 39/91, 375/46, 823/757
1. What is the HCF of 39,375,823?
The HCF of 39,375,823 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 39/91, 375/46, 823/757?
Answer: GCF of Numerators as per given numbers 39/91, 375/46, 823/757 is
GCF of Numerators i.e. for 39,375,823 is 1
LCM of denominators i.e. for 91,46,757 is 3168802.
Thus, GCF of Fractions is 1/3168802.Finally, GCF of Fractions for 39/91, 375/46, 823/757 is 1/3168802.