GCF of 1994/715, 7033/7822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1994/715, 7033/7822 i.e 1/5592730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1994/715, 7033/7822.
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 1994/715,7033/7822?
Given fractions are 1994/715,7033/7822
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 1994/715,7033/7822, numerators are 1994,7033
Denominators are 715,7822
The GCF of 1994,7033 is 1 .
LCM of 715,7822 is 5592730.
The greatest common factor of 1994/715,7033/7822 = [GCF of 1994,7033]/[LCM of 715,7822]= 1/5592730
Therefore, the GCF of 1994/715,7033/7822 is 1/5592730.
To find the highest common factor of 1994,7033, we have to find the factors of both numbers and list the highest common factor.
The factors of 1994 are 1, 2, 997, 1994
The factors of 7033 are 1, 13, 541, 7033
The HCF of 1994,7033 is 1.
Lets's calculate GCF of 1994,7033
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1994,7033 By Matching Biggest Common Factor Method
Now, list down the factors of 1994
:1,2,997,1994
Now, list down the factors of 7033
:1,13,541,7033
Greatest Common Factor
We found the factors 1994,7033 . The biggest common factor number is the GCF number.
So the greatest common factor 1994,7033 is 1.
Lets's calculate LCM of 715,7822
Given numbers has no common factors except 1. So, there LCM is their product i.e 5592730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5592730
Therefore, the GCF of Fractions 1994/715,7033/7822 is 1/5592730
Least Common Multiple of 715,7822 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 715,7822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,7822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,7822) x common factors =1 x 1 = 1
LCM(715,7822) = ( 715 × 7822 ) / 1
LCM(715,7822) = 5592730 / 1
LCM(715,7822) = 5592730
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FAQs on GCF of Fractions of 1994/715, 7033/7822
1. What is the HCF of 1994,7033?
The HCF of 1994,7033 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 1994/715, 7033/7822?
Answer: GCF of Numerators as per given numbers 1994/715, 7033/7822 is
GCF of Numerators i.e. for 1994,7033 is 1
LCM of denominators i.e. for 715,7822 is 5592730.
Thus, GCF of Fractions is 1/5592730.Finally, GCF of Fractions for 1994/715, 7033/7822 is 1/5592730.