GCF of 7048/838, 9585/837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7048/838, 9585/837 i.e 1/701406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7048/838, 9585/837.
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 7048/838,9585/837?
Given fractions are 7048/838,9585/837
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 7048/838,9585/837, numerators are 7048,9585
Denominators are 838,837
The GCF of 7048,9585 is 1 .
LCM of 838,837 is 701406.
The greatest common factor of 7048/838,9585/837 = [GCF of 7048,9585]/[LCM of 838,837]= 1/701406
Therefore, the GCF of 7048/838,9585/837 is 1/701406.
To find the highest common factor of 7048,9585, we have to find the factors of both numbers and list the highest common factor.
The factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048
The factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585
The HCF of 7048,9585 is 1.
Lets's calculate GCF of 7048,9585
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7048,9585 By Matching Biggest Common Factor Method
Now, list down the factors of 7048
:1,2,4,8,881,1762,3524,7048
Now, list down the factors of 9585
:1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585
Greatest Common Factor
We found the factors 7048,9585 . The biggest common factor number is the GCF number.
So the greatest common factor 7048,9585 is 1.
Lets's calculate LCM of 838,837
Given numbers has no common factors except 1. So, there LCM is their product i.e 701406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/701406
Therefore, the GCF of Fractions 7048/838,9585/837 is 1/701406
Least Common Multiple of 838,837 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 838,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,837) x common factors =1 x 1 = 1
LCM(838,837) = ( 838 × 837 ) / 1
LCM(838,837) = 701406 / 1
LCM(838,837) = 701406
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FAQs on GCF of Fractions of 7048/838, 9585/837
1. What is the HCF of 7048,9585?
The HCF of 7048,9585 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 7048/838, 9585/837?
Answer: GCF of Numerators as per given numbers 7048/838, 9585/837 is
GCF of Numerators i.e. for 7048,9585 is 1
LCM of denominators i.e. for 838,837 is 701406.
Thus, GCF of Fractions is 1/701406.Finally, GCF of Fractions for 7048/838, 9585/837 is 1/701406.