GCF of 3239/952, 7440/5474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3239/952, 7440/5474 i.e 1/21896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3239/952, 7440/5474.
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 3239/952,7440/5474?
Given fractions are 3239/952,7440/5474
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 3239/952,7440/5474, numerators are 3239,7440
Denominators are 952,5474
The GCF of 3239,7440 is 1 .
LCM of 952,5474 is 21896.
The greatest common factor of 3239/952,7440/5474 = [GCF of 3239,7440]/[LCM of 952,5474]= 1/21896
Therefore, the GCF of 3239/952,7440/5474 is 1/21896.
To find the highest common factor of 3239,7440, we have to find the factors of both numbers and list the highest common factor.
The factors of 3239 are 1, 41, 79, 3239
The factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440
The HCF of 3239,7440 is 1.
Lets's calculate GCF of 3239,7440
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3239,7440 By Matching Biggest Common Factor Method
Now, list down the factors of 3239
:1,41,79,3239
Now, list down the factors of 7440
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440
Greatest Common Factor
We found the factors 3239,7440 . The biggest common factor number is the GCF number.
So the greatest common factor 3239,7440 is 1.
Lets's calculate LCM of 952,5474
| 2 | 952, 5474 |
| 7 | 476, 2737 |
| 17 | 68, 391 |
| 4, 23 |
∴ So the LCM of the given numbers is 2 x 7 x 17 x 4 x 23 = 21896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21896
Therefore, the GCF of Fractions 3239/952,7440/5474 is 1/21896
Least Common Multiple of 952,5474 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 952,5474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,5474) = 238
common factors(in case of two or more numbers have common factors) = 1
GCF(952,5474) x common factors =238 x 1 = 238
LCM(952,5474) = ( 952 × 5474 ) / 238
LCM(952,5474) = 5211248 / 238
LCM(952,5474) = 21896
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FAQs on GCF of Fractions of 3239/952, 7440/5474
1. What is the HCF of 3239,7440?
The HCF of 3239,7440 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 3239/952, 7440/5474?
Answer: GCF of Numerators as per given numbers 3239/952, 7440/5474 is
GCF of Numerators i.e. for 3239,7440 is 1
LCM of denominators i.e. for 952,5474 is 21896.
Thus, GCF of Fractions is 1/21896.Finally, GCF of Fractions for 3239/952, 7440/5474 is 1/21896.