GCF of 2324/974, 6362/283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2324/974, 6362/283 i.e 2/275642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2324/974, 6362/283.
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 2324/974,6362/283?
Given fractions are 2324/974,6362/283
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 2324/974,6362/283, numerators are 2324,6362
Denominators are 974,283
The GCF of 2324,6362 is 2 .
LCM of 974,283 is 275642.
The greatest common factor of 2324/974,6362/283 = [GCF of 2324,6362]/[LCM of 974,283]= 2/275642
Therefore, the GCF of 2324/974,6362/283 is 2/275642.
To find the highest common factor of 2324,6362, we have to find the factors of both numbers and list the highest common factor.
The factors of 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324
The factors of 6362 are 1, 2, 3181, 6362
The HCF of 2324,6362 is 2.
Lets's calculate GCF of 2324,6362
| 2 | 2324, 6362 |
| 1162, 3181 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2324,6362 By Matching Biggest Common Factor Method
Now, list down the factors of 2324
:1,2,4,7,14,28,83,166,332,581,1162,2324
Now, list down the factors of 6362
:1,2,3181,6362
Greatest Common Factor
We found the factors 2324,6362 . The biggest common factor number is the GCF number.
So the greatest common factor 2324,6362 is 2.
Lets's calculate LCM of 974,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 275642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/275642
Therefore, the GCF of Fractions 2324/974,6362/283 is 2/275642
Least Common Multiple of 974,283 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 974,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,283) x common factors =1 x 1 = 1
LCM(974,283) = ( 974 × 283 ) / 1
LCM(974,283) = 275642 / 1
LCM(974,283) = 275642
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FAQs on GCF of Fractions of 2324/974, 6362/283
1. What is the HCF of 2324,6362?
The HCF of 2324,6362 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 2324/974, 6362/283?
Answer: GCF of Numerators as per given numbers 2324/974, 6362/283 is
GCF of Numerators i.e. for 2324,6362 is 2
LCM of denominators i.e. for 974,283 is 275642.
Thus, GCF of Fractions is 2/275642.Finally, GCF of Fractions for 2324/974, 6362/283 is 2/275642.