Use our free GCF of Fractions Calculator tool to compute the GCF of 641/696, 874/318 i.e 1/36888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 641/696, 874/318.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 641/696,874/318
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 641/696,874/318, numerators are 641,874
Denominators are 696,318
The GCF of 641,874 is 1 .
LCM of 696,318 is 36888.
The greatest common factor of 641/696,874/318 = [GCF of 641,874]/[LCM of 696,318]= 1/36888
Therefore, the GCF of 641/696,874/318 is 1/36888.
To find the highest common factor of 641,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 641 are 1, 641
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 641,874 is 1.
Lets's calculate GCF of 641,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 641
:1,641
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 641,874 . The biggest common factor number is the GCF number.
So the greatest common factor 641,874 is 1.
Lets's calculate LCM of 696,318
2 | 696, 318 |
3 | 348, 159 |
116, 53 |
∴ So the LCM of the given numbers is 2 x 3 x 116 x 53 = 36888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36888
Therefore, the GCF of Fractions 641/696,874/318 is 1/36888
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 696,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,318) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(696,318) x common factors =6 x 1 = 6
LCM(696,318) = ( 696 × 318 ) / 6
LCM(696,318) = 221328 / 6
LCM(696,318) = 36888
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 641,874?
The HCF of 641,874 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 641/696, 874/318?
Answer: GCF of Numerators as per given numbers 641/696, 874/318 is
GCF of Numerators i.e. for 641,874 is 1
LCM of denominators i.e. for 696,318 is 36888.
Thus, GCF of Fractions is 1/36888.Finally, GCF of Fractions for 641/696, 874/318 is 1/36888.