GCF of 4907/967, 1400/5993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4907/967, 1400/5993 i.e 7/5795231 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4907/967, 1400/5993.
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 4907/967,1400/5993?
Given fractions are 4907/967,1400/5993
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 4907/967,1400/5993, numerators are 4907,1400
Denominators are 967,5993
The GCF of 4907,1400 is 7 .
LCM of 967,5993 is 5795231.
The greatest common factor of 4907/967,1400/5993 = [GCF of 4907,1400]/[LCM of 967,5993]= 7/5795231
Therefore, the GCF of 4907/967,1400/5993 is 7/5795231.
To find the highest common factor of 4907,1400, we have to find the factors of both numbers and list the highest common factor.
The factors of 4907 are 1, 7, 701, 4907
The factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400
The HCF of 4907,1400 is 7.
Lets's calculate GCF of 4907,1400
| 7 | 4907, 1400 |
| 701, 200 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4907,1400 By Matching Biggest Common Factor Method
Now, list down the factors of 4907
:1,7,701,4907
Now, list down the factors of 1400
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400
Greatest Common Factor
We found the factors 4907,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 4907,1400 is 7.
Lets's calculate LCM of 967,5993
Given numbers has no common factors except 1. So, there LCM is their product i.e 5795231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5795231
Therefore, the GCF of Fractions 4907/967,1400/5993 is 7/5795231
Least Common Multiple of 967,5993 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 967,5993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,5993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,5993) x common factors =1 x 1 = 1
LCM(967,5993) = ( 967 × 5993 ) / 1
LCM(967,5993) = 5795231 / 1
LCM(967,5993) = 5795231
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4907/967, 1400/5993
1. What is the HCF of 4907,1400?
The HCF of 4907,1400 is 7
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 4907/967, 1400/5993?
Answer: GCF of Numerators as per given numbers 4907/967, 1400/5993 is
GCF of Numerators i.e. for 4907,1400 is 7
LCM of denominators i.e. for 967,5993 is 5795231.
Thus, GCF of Fractions is 7/5795231.Finally, GCF of Fractions for 4907/967, 1400/5993 is 7/5795231.