GCF of 5732/926, 3124/9324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5732/926, 3124/9324 i.e 4/4317012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5732/926, 3124/9324.
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 5732/926,3124/9324?
Given fractions are 5732/926,3124/9324
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 5732/926,3124/9324, numerators are 5732,3124
Denominators are 926,9324
The GCF of 5732,3124 is 4 .
LCM of 926,9324 is 4317012.
The greatest common factor of 5732/926,3124/9324 = [GCF of 5732,3124]/[LCM of 926,9324]= 4/4317012
Therefore, the GCF of 5732/926,3124/9324 is 4/4317012.
To find the highest common factor of 5732,3124, we have to find the factors of both numbers and list the highest common factor.
The factors of 5732 are 1, 2, 4, 1433, 2866, 5732
The factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124
The HCF of 5732,3124 is 4.
Lets's calculate GCF of 5732,3124
| 2 | 5732, 3124 |
| 2 | 2866, 1562 |
| 1433, 781 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5732,3124 By Matching Biggest Common Factor Method
Now, list down the factors of 5732
:1,2,4,1433,2866,5732
Now, list down the factors of 3124
:1,2,4,11,22,44,71,142,284,781,1562,3124
Greatest Common Factor
We found the factors 5732,3124 . The biggest common factor number is the GCF number.
So the greatest common factor 5732,3124 is 4.
Lets's calculate LCM of 926,9324
| 2 | 926, 9324 |
| 463, 4662 |
∴ So the LCM of the given numbers is 2 x 463 x 4662 = 4317012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4317012
Therefore, the GCF of Fractions 5732/926,3124/9324 is 4/4317012
Least Common Multiple of 926,9324 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 926,9324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,9324) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,9324) x common factors =2 x 1 = 2
LCM(926,9324) = ( 926 × 9324 ) / 2
LCM(926,9324) = 8634024 / 2
LCM(926,9324) = 4317012
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FAQs on GCF of Fractions of 5732/926, 3124/9324
1. What is the HCF of 5732,3124?
The HCF of 5732,3124 is 4
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 5732/926, 3124/9324?
Answer: GCF of Numerators as per given numbers 5732/926, 3124/9324 is
GCF of Numerators i.e. for 5732,3124 is 4
LCM of denominators i.e. for 926,9324 is 4317012.
Thus, GCF of Fractions is 4/4317012.Finally, GCF of Fractions for 5732/926, 3124/9324 is 4/4317012.