GCF of 1345/726, 7872/7552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1345/726, 7872/7552 i.e 1/2741376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1345/726, 7872/7552.
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 1345/726,7872/7552?
Given fractions are 1345/726,7872/7552
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 1345/726,7872/7552, numerators are 1345,7872
Denominators are 726,7552
The GCF of 1345,7872 is 1 .
LCM of 726,7552 is 2741376.
The greatest common factor of 1345/726,7872/7552 = [GCF of 1345,7872]/[LCM of 726,7552]= 1/2741376
Therefore, the GCF of 1345/726,7872/7552 is 1/2741376.
To find the highest common factor of 1345,7872, we have to find the factors of both numbers and list the highest common factor.
The factors of 1345 are 1, 5, 269, 1345
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 1345,7872 is 1.
Lets's calculate GCF of 1345,7872
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1345,7872 By Matching Biggest Common Factor Method
Now, list down the factors of 1345
:1,5,269,1345
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 1345,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 1345,7872 is 1.
Lets's calculate LCM of 726,7552
| 2 | 726, 7552 |
| 363, 3776 |
∴ So the LCM of the given numbers is 2 x 363 x 3776 = 2741376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2741376
Therefore, the GCF of Fractions 1345/726,7872/7552 is 1/2741376
Least Common Multiple of 726,7552 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 726,7552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,7552) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,7552) x common factors =2 x 1 = 2
LCM(726,7552) = ( 726 × 7552 ) / 2
LCM(726,7552) = 5482752 / 2
LCM(726,7552) = 2741376
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FAQs on GCF of Fractions of 1345/726, 7872/7552
1. What is the HCF of 1345,7872?
The HCF of 1345,7872 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 1345/726, 7872/7552?
Answer: GCF of Numerators as per given numbers 1345/726, 7872/7552 is
GCF of Numerators i.e. for 1345,7872 is 1
LCM of denominators i.e. for 726,7552 is 2741376.
Thus, GCF of Fractions is 1/2741376.Finally, GCF of Fractions for 1345/726, 7872/7552 is 1/2741376.