GCF of 1324/724, 4752/5634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1324/724, 4752/5634 i.e 4/2039508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1324/724, 4752/5634.
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 1324/724,4752/5634?
Given fractions are 1324/724,4752/5634
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 1324/724,4752/5634, numerators are 1324,4752
Denominators are 724,5634
The GCF of 1324,4752 is 4 .
LCM of 724,5634 is 2039508.
The greatest common factor of 1324/724,4752/5634 = [GCF of 1324,4752]/[LCM of 724,5634]= 4/2039508
Therefore, the GCF of 1324/724,4752/5634 is 4/2039508.
To find the highest common factor of 1324,4752, we have to find the factors of both numbers and list the highest common factor.
The factors of 1324 are 1, 2, 4, 331, 662, 1324
The factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752
The HCF of 1324,4752 is 4.
Lets's calculate GCF of 1324,4752
| 2 | 1324, 4752 |
| 2 | 662, 2376 |
| 331, 1188 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1324,4752 By Matching Biggest Common Factor Method
Now, list down the factors of 1324
:1,2,4,331,662,1324
Now, list down the factors of 4752
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752
Greatest Common Factor
We found the factors 1324,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 1324,4752 is 4.
Lets's calculate LCM of 724,5634
| 2 | 724, 5634 |
| 362, 2817 |
∴ So the LCM of the given numbers is 2 x 362 x 2817 = 2039508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2039508
Therefore, the GCF of Fractions 1324/724,4752/5634 is 4/2039508
Least Common Multiple of 724,5634 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 724,5634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,5634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,5634) x common factors =2 x 1 = 2
LCM(724,5634) = ( 724 × 5634 ) / 2
LCM(724,5634) = 4079016 / 2
LCM(724,5634) = 2039508
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FAQs on GCF of Fractions of 1324/724, 4752/5634
1. What is the HCF of 1324,4752?
The HCF of 1324,4752 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 1324/724, 4752/5634?
Answer: GCF of Numerators as per given numbers 1324/724, 4752/5634 is
GCF of Numerators i.e. for 1324,4752 is 4
LCM of denominators i.e. for 724,5634 is 2039508.
Thus, GCF of Fractions is 4/2039508.Finally, GCF of Fractions for 1324/724, 4752/5634 is 4/2039508.