GCF of 1484/178, 7524/3557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1484/178, 7524/3557 i.e 4/633146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1484/178, 7524/3557.
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 1484/178,7524/3557?
Given fractions are 1484/178,7524/3557
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 1484/178,7524/3557, numerators are 1484,7524
Denominators are 178,3557
The GCF of 1484,7524 is 4 .
LCM of 178,3557 is 633146.
The greatest common factor of 1484/178,7524/3557 = [GCF of 1484,7524]/[LCM of 178,3557]= 4/633146
Therefore, the GCF of 1484/178,7524/3557 is 4/633146.
To find the highest common factor of 1484,7524, we have to find the factors of both numbers and list the highest common factor.
The factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484
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 HCF of 1484,7524 is 4.
Lets's calculate GCF of 1484,7524
| 2 | 1484, 7524 |
| 2 | 742, 3762 |
| 371, 1881 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1484,7524 By Matching Biggest Common Factor Method
Now, list down the factors of 1484
:1,2,4,7,14,28,53,106,212,371,742,1484
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
Greatest Common Factor
We found the factors 1484,7524 . The biggest common factor number is the GCF number.
So the greatest common factor 1484,7524 is 4.
Lets's calculate LCM of 178,3557
Given numbers has no common factors except 1. So, there LCM is their product i.e 633146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/633146
Therefore, the GCF of Fractions 1484/178,7524/3557 is 4/633146
Least Common Multiple of 178,3557 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 178,3557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,3557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,3557) x common factors =1 x 1 = 1
LCM(178,3557) = ( 178 × 3557 ) / 1
LCM(178,3557) = 633146 / 1
LCM(178,3557) = 633146
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FAQs on GCF of Fractions of 1484/178, 7524/3557
1. What is the HCF of 1484,7524?
The HCF of 1484,7524 is 4
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 1484/178, 7524/3557?
Answer: GCF of Numerators as per given numbers 1484/178, 7524/3557 is
GCF of Numerators i.e. for 1484,7524 is 4
LCM of denominators i.e. for 178,3557 is 633146.
Thus, GCF of Fractions is 4/633146.Finally, GCF of Fractions for 1484/178, 7524/3557 is 4/633146.