GCF of 1595/637, 7734/9376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1595/637, 7734/9376 i.e 1/5972512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1595/637, 7734/9376.
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 1595/637,7734/9376?
Given fractions are 1595/637,7734/9376
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 1595/637,7734/9376, numerators are 1595,7734
Denominators are 637,9376
The GCF of 1595,7734 is 1 .
LCM of 637,9376 is 5972512.
The greatest common factor of 1595/637,7734/9376 = [GCF of 1595,7734]/[LCM of 637,9376]= 1/5972512
Therefore, the GCF of 1595/637,7734/9376 is 1/5972512.
To find the highest common factor of 1595,7734, we have to find the factors of both numbers and list the highest common factor.
The factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595
The factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734
The HCF of 1595,7734 is 1.
Lets's calculate GCF of 1595,7734
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1595,7734 By Matching Biggest Common Factor Method
Now, list down the factors of 1595
:1,5,11,29,55,145,319,1595
Now, list down the factors of 7734
:1,2,3,6,1289,2578,3867,7734
Greatest Common Factor
We found the factors 1595,7734 . The biggest common factor number is the GCF number.
So the greatest common factor 1595,7734 is 1.
Lets's calculate LCM of 637,9376
Given numbers has no common factors except 1. So, there LCM is their product i.e 5972512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5972512
Therefore, the GCF of Fractions 1595/637,7734/9376 is 1/5972512
Least Common Multiple of 637,9376 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 637,9376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,9376) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,9376) x common factors =1 x 1 = 1
LCM(637,9376) = ( 637 × 9376 ) / 1
LCM(637,9376) = 5972512 / 1
LCM(637,9376) = 5972512
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FAQs on GCF of Fractions of 1595/637, 7734/9376
1. What is the HCF of 1595,7734?
The HCF of 1595,7734 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 1595/637, 7734/9376?
Answer: GCF of Numerators as per given numbers 1595/637, 7734/9376 is
GCF of Numerators i.e. for 1595,7734 is 1
LCM of denominators i.e. for 637,9376 is 5972512.
Thus, GCF of Fractions is 1/5972512.Finally, GCF of Fractions for 1595/637, 7734/9376 is 1/5972512.