GCF of 1450/466, 1088/357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1450/466, 1088/357 i.e 2/166362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1450/466, 1088/357.
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 1450/466,1088/357?
Given fractions are 1450/466,1088/357
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 1450/466,1088/357, numerators are 1450,1088
Denominators are 466,357
The GCF of 1450,1088 is 2 .
LCM of 466,357 is 166362.
The greatest common factor of 1450/466,1088/357 = [GCF of 1450,1088]/[LCM of 466,357]= 2/166362
Therefore, the GCF of 1450/466,1088/357 is 2/166362.
To find the highest common factor of 1450,1088, we have to find the factors of both numbers and list the highest common factor.
The factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450
The factors of 1088 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088
The HCF of 1450,1088 is 2.
Lets's calculate GCF of 1450,1088
| 2 | 1450, 1088 |
| 725, 544 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1450,1088 By Matching Biggest Common Factor Method
Now, list down the factors of 1450
:1,2,5,10,25,29,50,58,145,290,725,1450
Now, list down the factors of 1088
:1,2,4,8,16,17,32,34,64,68,136,272,544,1088
Greatest Common Factor
We found the factors 1450,1088 . The biggest common factor number is the GCF number.
So the greatest common factor 1450,1088 is 2.
Lets's calculate LCM of 466,357
Given numbers has no common factors except 1. So, there LCM is their product i.e 166362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166362
Therefore, the GCF of Fractions 1450/466,1088/357 is 2/166362
Least Common Multiple of 466,357 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 466,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(466,357) x common factors =1 x 1 = 1
LCM(466,357) = ( 466 × 357 ) / 1
LCM(466,357) = 166362 / 1
LCM(466,357) = 166362
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FAQs on GCF of Fractions of 1450/466, 1088/357
1. What is the HCF of 1450,1088?
The HCF of 1450,1088 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 1450/466, 1088/357?
Answer: GCF of Numerators as per given numbers 1450/466, 1088/357 is
GCF of Numerators i.e. for 1450,1088 is 2
LCM of denominators i.e. for 466,357 is 166362.
Thus, GCF of Fractions is 2/166362.Finally, GCF of Fractions for 1450/466, 1088/357 is 2/166362.