GCF of 841/704, 6736/2014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 841/704, 6736/2014 i.e 1/708928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 841/704, 6736/2014.
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 841/704,6736/2014?
Given fractions are 841/704,6736/2014
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 841/704,6736/2014, numerators are 841,6736
Denominators are 704,2014
The GCF of 841,6736 is 1 .
LCM of 704,2014 is 708928.
The greatest common factor of 841/704,6736/2014 = [GCF of 841,6736]/[LCM of 704,2014]= 1/708928
Therefore, the GCF of 841/704,6736/2014 is 1/708928.
To find the highest common factor of 841,6736, we have to find the factors of both numbers and list the highest common factor.
The factors of 841 are 1, 29, 841
The factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736
The HCF of 841,6736 is 1.
Lets's calculate GCF of 841,6736
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 841,6736 By Matching Biggest Common Factor Method
Now, list down the factors of 841
:1,29,841
Now, list down the factors of 6736
:1,2,4,8,16,421,842,1684,3368,6736
Greatest Common Factor
We found the factors 841,6736 . The biggest common factor number is the GCF number.
So the greatest common factor 841,6736 is 1.
Lets's calculate LCM of 704,2014
| 2 | 704, 2014 |
| 352, 1007 |
∴ So the LCM of the given numbers is 2 x 352 x 1007 = 708928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/708928
Therefore, the GCF of Fractions 841/704,6736/2014 is 1/708928
Least Common Multiple of 704,2014 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 704,2014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,2014) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(704,2014) x common factors =2 x 1 = 2
LCM(704,2014) = ( 704 × 2014 ) / 2
LCM(704,2014) = 1417856 / 2
LCM(704,2014) = 708928
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FAQs on GCF of Fractions of 841/704, 6736/2014
1. What is the HCF of 841,6736?
The HCF of 841,6736 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 841/704, 6736/2014?
Answer: GCF of Numerators as per given numbers 841/704, 6736/2014 is
GCF of Numerators i.e. for 841,6736 is 1
LCM of denominators i.e. for 704,2014 is 708928.
Thus, GCF of Fractions is 1/708928.Finally, GCF of Fractions for 841/704, 6736/2014 is 1/708928.