GCF of 3373/595, 9492/7043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3373/595, 9492/7043 i.e 1/4190585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3373/595, 9492/7043.
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 3373/595,9492/7043?
Given fractions are 3373/595,9492/7043
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 3373/595,9492/7043, numerators are 3373,9492
Denominators are 595,7043
The GCF of 3373,9492 is 1 .
LCM of 595,7043 is 4190585.
The greatest common factor of 3373/595,9492/7043 = [GCF of 3373,9492]/[LCM of 595,7043]= 1/4190585
Therefore, the GCF of 3373/595,9492/7043 is 1/4190585.
To find the highest common factor of 3373,9492, we have to find the factors of both numbers and list the highest common factor.
The factors of 3373 are 1, 3373
The factors of 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492
The HCF of 3373,9492 is 1.
Lets's calculate GCF of 3373,9492
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3373,9492 By Matching Biggest Common Factor Method
Now, list down the factors of 3373
:1,3373
Now, list down the factors of 9492
:1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492
Greatest Common Factor
We found the factors 3373,9492 . The biggest common factor number is the GCF number.
So the greatest common factor 3373,9492 is 1.
Lets's calculate LCM of 595,7043
Given numbers has no common factors except 1. So, there LCM is their product i.e 4190585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4190585
Therefore, the GCF of Fractions 3373/595,9492/7043 is 1/4190585
Least Common Multiple of 595,7043 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 595,7043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,7043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,7043) x common factors =1 x 1 = 1
LCM(595,7043) = ( 595 × 7043 ) / 1
LCM(595,7043) = 4190585 / 1
LCM(595,7043) = 4190585
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FAQs on GCF of Fractions of 3373/595, 9492/7043
1. What is the HCF of 3373,9492?
The HCF of 3373,9492 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 3373/595, 9492/7043?
Answer: GCF of Numerators as per given numbers 3373/595, 9492/7043 is
GCF of Numerators i.e. for 3373,9492 is 1
LCM of denominators i.e. for 595,7043 is 4190585.
Thus, GCF of Fractions is 1/4190585.Finally, GCF of Fractions for 3373/595, 9492/7043 is 1/4190585.