GCF of 835/329, 862/693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 835/329, 862/693 i.e 1/32571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/329, 862/693.
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 835/329,862/693?
Given fractions are 835/329,862/693
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 835/329,862/693, numerators are 835,862
Denominators are 329,693
The GCF of 835,862 is 1 .
LCM of 329,693 is 32571.
The greatest common factor of 835/329,862/693 = [GCF of 835,862]/[LCM of 329,693]= 1/32571
Therefore, the GCF of 835/329,862/693 is 1/32571.
To find the highest common factor of 835,862, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 862 are 1, 2, 431, 862
The HCF of 835,862 is 1.
Lets's calculate GCF of 835,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 835,862 By Matching Biggest Common Factor Method
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 862
:1,2,431,862
Greatest Common Factor
We found the factors 835,862 . The biggest common factor number is the GCF number.
So the greatest common factor 835,862 is 1.
Lets's calculate LCM of 329,693
| 7 | 329, 693 |
| 47, 99 |
∴ So the LCM of the given numbers is 7 x 47 x 99 = 32571
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32571
Therefore, the GCF of Fractions 835/329,862/693 is 1/32571
Least Common Multiple of 329,693 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 329,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,693) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(329,693) x common factors =7 x 1 = 7
LCM(329,693) = ( 329 × 693 ) / 7
LCM(329,693) = 227997 / 7
LCM(329,693) = 32571
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FAQs on GCF of Fractions of 835/329, 862/693
1. What is the HCF of 835,862?
The HCF of 835,862 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 835/329, 862/693?
Answer: GCF of Numerators as per given numbers 835/329, 862/693 is
GCF of Numerators i.e. for 835,862 is 1
LCM of denominators i.e. for 329,693 is 32571.
Thus, GCF of Fractions is 1/32571.Finally, GCF of Fractions for 835/329, 862/693 is 1/32571.