GCF of 6929/894, 5645/8758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6929/894, 5645/8758 i.e 1/3914826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6929/894, 5645/8758.
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 6929/894,5645/8758?
Given fractions are 6929/894,5645/8758
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 6929/894,5645/8758, numerators are 6929,5645
Denominators are 894,8758
The GCF of 6929,5645 is 1 .
LCM of 894,8758 is 3914826.
The greatest common factor of 6929/894,5645/8758 = [GCF of 6929,5645]/[LCM of 894,8758]= 1/3914826
Therefore, the GCF of 6929/894,5645/8758 is 1/3914826.
To find the highest common factor of 6929,5645, we have to find the factors of both numbers and list the highest common factor.
The factors of 6929 are 1, 13, 41, 169, 533, 6929
The factors of 5645 are 1, 5, 1129, 5645
The HCF of 6929,5645 is 1.
Lets's calculate GCF of 6929,5645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6929,5645 By Matching Biggest Common Factor Method
Now, list down the factors of 6929
:1,13,41,169,533,6929
Now, list down the factors of 5645
:1,5,1129,5645
Greatest Common Factor
We found the factors 6929,5645 . The biggest common factor number is the GCF number.
So the greatest common factor 6929,5645 is 1.
Lets's calculate LCM of 894,8758
| 2 | 894, 8758 |
| 447, 4379 |
∴ So the LCM of the given numbers is 2 x 447 x 4379 = 3914826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3914826
Therefore, the GCF of Fractions 6929/894,5645/8758 is 1/3914826
Least Common Multiple of 894,8758 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 894,8758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,8758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,8758) x common factors =2 x 1 = 2
LCM(894,8758) = ( 894 × 8758 ) / 2
LCM(894,8758) = 7829652 / 2
LCM(894,8758) = 3914826
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6929/894, 5645/8758
1. What is the HCF of 6929,5645?
The HCF of 6929,5645 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 6929/894, 5645/8758?
Answer: GCF of Numerators as per given numbers 6929/894, 5645/8758 is
GCF of Numerators i.e. for 6929,5645 is 1
LCM of denominators i.e. for 894,8758 is 3914826.
Thus, GCF of Fractions is 1/3914826.Finally, GCF of Fractions for 6929/894, 5645/8758 is 1/3914826.