GCF of 3037/484, 5312/4606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3037/484, 5312/4606 i.e 1/1114652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3037/484, 5312/4606.
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 3037/484,5312/4606?
Given fractions are 3037/484,5312/4606
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 3037/484,5312/4606, numerators are 3037,5312
Denominators are 484,4606
The GCF of 3037,5312 is 1 .
LCM of 484,4606 is 1114652.
The greatest common factor of 3037/484,5312/4606 = [GCF of 3037,5312]/[LCM of 484,4606]= 1/1114652
Therefore, the GCF of 3037/484,5312/4606 is 1/1114652.
To find the highest common factor of 3037,5312, we have to find the factors of both numbers and list the highest common factor.
The factors of 3037 are 1, 3037
The factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312
The HCF of 3037,5312 is 1.
Lets's calculate GCF of 3037,5312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3037,5312 By Matching Biggest Common Factor Method
Now, list down the factors of 3037
:1,3037
Now, list down the factors of 5312
:1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312
Greatest Common Factor
We found the factors 3037,5312 . The biggest common factor number is the GCF number.
So the greatest common factor 3037,5312 is 1.
Lets's calculate LCM of 484,4606
| 2 | 484, 4606 |
| 242, 2303 |
∴ So the LCM of the given numbers is 2 x 242 x 2303 = 1114652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1114652
Therefore, the GCF of Fractions 3037/484,5312/4606 is 1/1114652
Least Common Multiple of 484,4606 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 484,4606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,4606) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(484,4606) x common factors =2 x 1 = 2
LCM(484,4606) = ( 484 × 4606 ) / 2
LCM(484,4606) = 2229304 / 2
LCM(484,4606) = 1114652
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FAQs on GCF of Fractions of 3037/484, 5312/4606
1. What is the HCF of 3037,5312?
The HCF of 3037,5312 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 3037/484, 5312/4606?
Answer: GCF of Numerators as per given numbers 3037/484, 5312/4606 is
GCF of Numerators i.e. for 3037,5312 is 1
LCM of denominators i.e. for 484,4606 is 1114652.
Thus, GCF of Fractions is 1/1114652.Finally, GCF of Fractions for 3037/484, 5312/4606 is 1/1114652.