GCF of 7321/623, 3512/9642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7321/623, 3512/9642 i.e 1/6006966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7321/623, 3512/9642.
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 7321/623,3512/9642?
Given fractions are 7321/623,3512/9642
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 7321/623,3512/9642, numerators are 7321,3512
Denominators are 623,9642
The GCF of 7321,3512 is 1 .
LCM of 623,9642 is 6006966.
The greatest common factor of 7321/623,3512/9642 = [GCF of 7321,3512]/[LCM of 623,9642]= 1/6006966
Therefore, the GCF of 7321/623,3512/9642 is 1/6006966.
To find the highest common factor of 7321,3512, we have to find the factors of both numbers and list the highest common factor.
The factors of 7321 are 1, 7321
The factors of 3512 are 1, 2, 4, 8, 439, 878, 1756, 3512
The HCF of 7321,3512 is 1.
Lets's calculate GCF of 7321,3512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7321,3512 By Matching Biggest Common Factor Method
Now, list down the factors of 7321
:1,7321
Now, list down the factors of 3512
:1,2,4,8,439,878,1756,3512
Greatest Common Factor
We found the factors 7321,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 7321,3512 is 1.
Lets's calculate LCM of 623,9642
Given numbers has no common factors except 1. So, there LCM is their product i.e 6006966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6006966
Therefore, the GCF of Fractions 7321/623,3512/9642 is 1/6006966
Least Common Multiple of 623,9642 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 623,9642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,9642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,9642) x common factors =1 x 1 = 1
LCM(623,9642) = ( 623 × 9642 ) / 1
LCM(623,9642) = 6006966 / 1
LCM(623,9642) = 6006966
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FAQs on GCF of Fractions of 7321/623, 3512/9642
1. What is the HCF of 7321,3512?
The HCF of 7321,3512 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 7321/623, 3512/9642?
Answer: GCF of Numerators as per given numbers 7321/623, 3512/9642 is
GCF of Numerators i.e. for 7321,3512 is 1
LCM of denominators i.e. for 623,9642 is 6006966.
Thus, GCF of Fractions is 1/6006966.Finally, GCF of Fractions for 7321/623, 3512/9642 is 1/6006966.