GCF of 4356/741, 7542/2219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4356/741, 7542/2219 i.e 18/1644279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4356/741, 7542/2219.
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 4356/741,7542/2219?
Given fractions are 4356/741,7542/2219
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 4356/741,7542/2219, numerators are 4356,7542
Denominators are 741,2219
The GCF of 4356,7542 is 18 .
LCM of 741,2219 is 1644279.
The greatest common factor of 4356/741,7542/2219 = [GCF of 4356,7542]/[LCM of 741,2219]= 18/1644279
Therefore, the GCF of 4356/741,7542/2219 is 18/1644279.
To find the highest common factor of 4356,7542, we have to find the factors of both numbers and list the highest common factor.
The factors of 4356 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356
The factors of 7542 are 1, 2, 3, 6, 9, 18, 419, 838, 1257, 2514, 3771, 7542
The HCF of 4356,7542 is 18.
Lets's calculate GCF of 4356,7542
| 2 | 4356, 7542 |
| 3 | 2178, 3771 |
| 3 | 726, 1257 |
| 242, 419 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 4356,7542 By Matching Biggest Common Factor Method
Now, list down the factors of 4356
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356
Now, list down the factors of 7542
:1,2,3,6,9,18,419,838,1257,2514,3771,7542
Greatest Common Factor
We found the factors 4356,7542 . The biggest common factor number is the GCF number.
So the greatest common factor 4356,7542 is 18.
Lets's calculate LCM of 741,2219
Given numbers has no common factors except 1. So, there LCM is their product i.e 1644279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1644279
Therefore, the GCF of Fractions 4356/741,7542/2219 is 18/1644279
Least Common Multiple of 741,2219 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 741,2219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,2219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,2219) x common factors =1 x 1 = 1
LCM(741,2219) = ( 741 × 2219 ) / 1
LCM(741,2219) = 1644279 / 1
LCM(741,2219) = 1644279
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FAQs on GCF of Fractions of 4356/741, 7542/2219
1. What is the HCF of 4356,7542?
The HCF of 4356,7542 is 18
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 4356/741, 7542/2219?
Answer: GCF of Numerators as per given numbers 4356/741, 7542/2219 is
GCF of Numerators i.e. for 4356,7542 is 18
LCM of denominators i.e. for 741,2219 is 1644279.
Thus, GCF of Fractions is 18/1644279.Finally, GCF of Fractions for 4356/741, 7542/2219 is 18/1644279.