GCF of 2076/598, 9902/6024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2076/598, 9902/6024 i.e 2/1801176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2076/598, 9902/6024.
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 2076/598,9902/6024?
Given fractions are 2076/598,9902/6024
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 2076/598,9902/6024, numerators are 2076,9902
Denominators are 598,6024
The GCF of 2076,9902 is 2 .
LCM of 598,6024 is 1801176.
The greatest common factor of 2076/598,9902/6024 = [GCF of 2076,9902]/[LCM of 598,6024]= 2/1801176
Therefore, the GCF of 2076/598,9902/6024 is 2/1801176.
To find the highest common factor of 2076,9902, we have to find the factors of both numbers and list the highest common factor.
The factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076
The factors of 9902 are 1, 2, 4951, 9902
The HCF of 2076,9902 is 2.
Lets's calculate GCF of 2076,9902
| 2 | 2076, 9902 |
| 1038, 4951 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2076,9902 By Matching Biggest Common Factor Method
Now, list down the factors of 2076
:1,2,3,4,6,12,173,346,519,692,1038,2076
Now, list down the factors of 9902
:1,2,4951,9902
Greatest Common Factor
We found the factors 2076,9902 . The biggest common factor number is the GCF number.
So the greatest common factor 2076,9902 is 2.
Lets's calculate LCM of 598,6024
| 2 | 598, 6024 |
| 299, 3012 |
∴ So the LCM of the given numbers is 2 x 299 x 3012 = 1801176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1801176
Therefore, the GCF of Fractions 2076/598,9902/6024 is 2/1801176
Least Common Multiple of 598,6024 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 598,6024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,6024) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,6024) x common factors =2 x 1 = 2
LCM(598,6024) = ( 598 × 6024 ) / 2
LCM(598,6024) = 3602352 / 2
LCM(598,6024) = 1801176
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2076/598, 9902/6024
1. What is the HCF of 2076,9902?
The HCF of 2076,9902 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 2076/598, 9902/6024?
Answer: GCF of Numerators as per given numbers 2076/598, 9902/6024 is
GCF of Numerators i.e. for 2076,9902 is 2
LCM of denominators i.e. for 598,6024 is 1801176.
Thus, GCF of Fractions is 2/1801176.Finally, GCF of Fractions for 2076/598, 9902/6024 is 2/1801176.