Use our free GCF of Fractions Calculator tool to compute the GCF of 937/971, 280/662 i.e 1/642802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/971, 280/662.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/971,280/662
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 937/971,280/662, numerators are 937,280
Denominators are 971,662
The GCF of 937,280 is 1 .
LCM of 971,662 is 642802.
The greatest common factor of 937/971,280/662 = [GCF of 937,280]/[LCM of 971,662]= 1/642802
Therefore, the GCF of 937/971,280/662 is 1/642802.
To find the highest common factor of 937,280, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The HCF of 937,280 is 1.
Lets's calculate GCF of 937,280
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 937
:1,937
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 937,280 . The biggest common factor number is the GCF number.
So the greatest common factor 937,280 is 1.
Lets's calculate LCM of 971,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 642802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642802
Therefore, the GCF of Fractions 937/971,280/662 is 1/642802
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 971,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,662) x common factors =1 x 1 = 1
LCM(971,662) = ( 971 × 662 ) / 1
LCM(971,662) = 642802 / 1
LCM(971,662) = 642802
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 937,280?
The HCF of 937,280 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 937/971, 280/662?
Answer: GCF of Numerators as per given numbers 937/971, 280/662 is
GCF of Numerators i.e. for 937,280 is 1
LCM of denominators i.e. for 971,662 is 642802.
Thus, GCF of Fractions is 1/642802.Finally, GCF of Fractions for 937/971, 280/662 is 1/642802.