GCF of 1699/849, 7724/822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1699/849, 7724/822 i.e 1/232626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1699/849, 7724/822.
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 1699/849,7724/822?
Given fractions are 1699/849,7724/822
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 1699/849,7724/822, numerators are 1699,7724
Denominators are 849,822
The GCF of 1699,7724 is 1 .
LCM of 849,822 is 232626.
The greatest common factor of 1699/849,7724/822 = [GCF of 1699,7724]/[LCM of 849,822]= 1/232626
Therefore, the GCF of 1699/849,7724/822 is 1/232626.
To find the highest common factor of 1699,7724, we have to find the factors of both numbers and list the highest common factor.
The factors of 1699 are 1, 1699
The factors of 7724 are 1, 2, 4, 1931, 3862, 7724
The HCF of 1699,7724 is 1.
Lets's calculate GCF of 1699,7724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1699,7724 By Matching Biggest Common Factor Method
Now, list down the factors of 1699
:1,1699
Now, list down the factors of 7724
:1,2,4,1931,3862,7724
Greatest Common Factor
We found the factors 1699,7724 . The biggest common factor number is the GCF number.
So the greatest common factor 1699,7724 is 1.
Lets's calculate LCM of 849,822
| 3 | 849, 822 |
| 283, 274 |
∴ So the LCM of the given numbers is 3 x 283 x 274 = 232626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232626
Therefore, the GCF of Fractions 1699/849,7724/822 is 1/232626
Least Common Multiple of 849,822 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 849,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,822) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,822) x common factors =3 x 1 = 3
LCM(849,822) = ( 849 × 822 ) / 3
LCM(849,822) = 697878 / 3
LCM(849,822) = 232626
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FAQs on GCF of Fractions of 1699/849, 7724/822
1. What is the HCF of 1699,7724?
The HCF of 1699,7724 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 1699/849, 7724/822?
Answer: GCF of Numerators as per given numbers 1699/849, 7724/822 is
GCF of Numerators i.e. for 1699,7724 is 1
LCM of denominators i.e. for 849,822 is 232626.
Thus, GCF of Fractions is 1/232626.Finally, GCF of Fractions for 1699/849, 7724/822 is 1/232626.