GCF of 7524/271, 7277/7112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7524/271, 7277/7112 i.e 19/1927352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7524/271, 7277/7112.
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 7524/271,7277/7112?
Given fractions are 7524/271,7277/7112
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 7524/271,7277/7112, numerators are 7524,7277
Denominators are 271,7112
The GCF of 7524,7277 is 19 .
LCM of 271,7112 is 1927352.
The greatest common factor of 7524/271,7277/7112 = [GCF of 7524,7277]/[LCM of 271,7112]= 19/1927352
Therefore, the GCF of 7524/271,7277/7112 is 19/1927352.
To find the highest common factor of 7524,7277, we have to find the factors of both numbers and list the highest common factor.
The factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524
The factors of 7277 are 1, 19, 383, 7277
The HCF of 7524,7277 is 19.
Lets's calculate GCF of 7524,7277
| 19 | 7524, 7277 |
| 396, 383 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 7524,7277 By Matching Biggest Common Factor Method
Now, list down the factors of 7524
:1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524
Now, list down the factors of 7277
:1,19,383,7277
Greatest Common Factor
We found the factors 7524,7277 . The biggest common factor number is the GCF number.
So the greatest common factor 7524,7277 is 19.
Lets's calculate LCM of 271,7112
Given numbers has no common factors except 1. So, there LCM is their product i.e 1927352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1927352
Therefore, the GCF of Fractions 7524/271,7277/7112 is 19/1927352
Least Common Multiple of 271,7112 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 271,7112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,7112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,7112) x common factors =1 x 1 = 1
LCM(271,7112) = ( 271 × 7112 ) / 1
LCM(271,7112) = 1927352 / 1
LCM(271,7112) = 1927352
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FAQs on GCF of Fractions of 7524/271, 7277/7112
1. What is the HCF of 7524,7277?
The HCF of 7524,7277 is 19
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 7524/271, 7277/7112?
Answer: GCF of Numerators as per given numbers 7524/271, 7277/7112 is
GCF of Numerators i.e. for 7524,7277 is 19
LCM of denominators i.e. for 271,7112 is 1927352.
Thus, GCF of Fractions is 19/1927352.Finally, GCF of Fractions for 7524/271, 7277/7112 is 19/1927352.