GCF of 1574/537, 7872/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1574/537, 7872/724 i.e 2/388788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1574/537, 7872/724.
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 1574/537,7872/724?
Given fractions are 1574/537,7872/724
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 1574/537,7872/724, numerators are 1574,7872
Denominators are 537,724
The GCF of 1574,7872 is 2 .
LCM of 537,724 is 388788.
The greatest common factor of 1574/537,7872/724 = [GCF of 1574,7872]/[LCM of 537,724]= 2/388788
Therefore, the GCF of 1574/537,7872/724 is 2/388788.
To find the highest common factor of 1574,7872, we have to find the factors of both numbers and list the highest common factor.
The factors of 1574 are 1, 2, 787, 1574
The factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872
The HCF of 1574,7872 is 2.
Lets's calculate GCF of 1574,7872
| 2 | 1574, 7872 |
| 787, 3936 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1574,7872 By Matching Biggest Common Factor Method
Now, list down the factors of 1574
:1,2,787,1574
Now, list down the factors of 7872
:1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Greatest Common Factor
We found the factors 1574,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 1574,7872 is 2.
Lets's calculate LCM of 537,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 388788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/388788
Therefore, the GCF of Fractions 1574/537,7872/724 is 2/388788
Least Common Multiple of 537,724 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 537,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,724) x common factors =1 x 1 = 1
LCM(537,724) = ( 537 × 724 ) / 1
LCM(537,724) = 388788 / 1
LCM(537,724) = 388788
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FAQs on GCF of Fractions of 1574/537, 7872/724
1. What is the HCF of 1574,7872?
The HCF of 1574,7872 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 1574/537, 7872/724?
Answer: GCF of Numerators as per given numbers 1574/537, 7872/724 is
GCF of Numerators i.e. for 1574,7872 is 2
LCM of denominators i.e. for 537,724 is 388788.
Thus, GCF of Fractions is 2/388788.Finally, GCF of Fractions for 1574/537, 7872/724 is 2/388788.