GCF of 294/914, 843/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 294/914, 843/769 i.e 3/702866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/914, 843/769.
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 294/914,843/769?
Given fractions are 294/914,843/769
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 294/914,843/769, numerators are 294,843
Denominators are 914,769
The GCF of 294,843 is 3 .
LCM of 914,769 is 702866.
The greatest common factor of 294/914,843/769 = [GCF of 294,843]/[LCM of 914,769]= 3/702866
Therefore, the GCF of 294/914,843/769 is 3/702866.
To find the highest common factor of 294,843, we have to find the factors of both numbers and list the highest common factor.
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The factors of 843 are 1, 3, 281, 843
The HCF of 294,843 is 3.
Lets's calculate GCF of 294,843
| 3 | 294, 843 |
| 98, 281 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 294,843 By Matching Biggest Common Factor Method
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Now, list down the factors of 843
:1,3,281,843
Greatest Common Factor
We found the factors 294,843 . The biggest common factor number is the GCF number.
So the greatest common factor 294,843 is 3.
Lets's calculate LCM of 914,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 702866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/702866
Therefore, the GCF of Fractions 294/914,843/769 is 3/702866
Least Common Multiple of 914,769 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 914,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,769) x common factors =1 x 1 = 1
LCM(914,769) = ( 914 × 769 ) / 1
LCM(914,769) = 702866 / 1
LCM(914,769) = 702866
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FAQs on GCF of Fractions of 294/914, 843/769
1. What is the HCF of 294,843?
The HCF of 294,843 is 3
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 294/914, 843/769?
Answer: GCF of Numerators as per given numbers 294/914, 843/769 is
GCF of Numerators i.e. for 294,843 is 3
LCM of denominators i.e. for 914,769 is 702866.
Thus, GCF of Fractions is 3/702866.Finally, GCF of Fractions for 294/914, 843/769 is 3/702866.