GCF of 4406/997, 7862/539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4406/997, 7862/539 i.e 2/537383 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4406/997, 7862/539.
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 4406/997,7862/539?
Given fractions are 4406/997,7862/539
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 4406/997,7862/539, numerators are 4406,7862
Denominators are 997,539
The GCF of 4406,7862 is 2 .
LCM of 997,539 is 537383.
The greatest common factor of 4406/997,7862/539 = [GCF of 4406,7862]/[LCM of 997,539]= 2/537383
Therefore, the GCF of 4406/997,7862/539 is 2/537383.
To find the highest common factor of 4406,7862, we have to find the factors of both numbers and list the highest common factor.
The factors of 4406 are 1, 2, 2203, 4406
The factors of 7862 are 1, 2, 3931, 7862
The HCF of 4406,7862 is 2.
Lets's calculate GCF of 4406,7862
| 2 | 4406, 7862 |
| 2203, 3931 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4406,7862 By Matching Biggest Common Factor Method
Now, list down the factors of 4406
:1,2,2203,4406
Now, list down the factors of 7862
:1,2,3931,7862
Greatest Common Factor
We found the factors 4406,7862 . The biggest common factor number is the GCF number.
So the greatest common factor 4406,7862 is 2.
Lets's calculate LCM of 997,539
Given numbers has no common factors except 1. So, there LCM is their product i.e 537383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/537383
Therefore, the GCF of Fractions 4406/997,7862/539 is 2/537383
Least Common Multiple of 997,539 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 997,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,539) x common factors =1 x 1 = 1
LCM(997,539) = ( 997 × 539 ) / 1
LCM(997,539) = 537383 / 1
LCM(997,539) = 537383
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4406/997, 7862/539
1. What is the HCF of 4406,7862?
The HCF of 4406,7862 is 2
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 4406/997, 7862/539?
Answer: GCF of Numerators as per given numbers 4406/997, 7862/539 is
GCF of Numerators i.e. for 4406,7862 is 2
LCM of denominators i.e. for 997,539 is 537383.
Thus, GCF of Fractions is 2/537383.Finally, GCF of Fractions for 4406/997, 7862/539 is 2/537383.