GCF of 43/61, 90/636, 314/148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/61, 90/636, 314/148 i.e 1/1435452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/61, 90/636, 314/148.
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 43/61,90/636,314/148?
Given fractions are 43/61,90/636,314/148
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 43/61,90/636,314/148, numerators are 43,90,314
Denominators are 61,636,148
The GCF of 43,90,314 is 1 .
LCM of 61,636,148 is 1435452.
The greatest common factor of 43/61,90/636,314/148 = [GCF of 43,90,314]/[LCM of 61,636,148]= 1/1435452
Therefore, the GCF of 43/61,90/636,314/148 is 1/1435452.
To find the highest common factor of 43,90,314, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 314 are 1, 2, 157, 314
The HCF of 43,90,314 is 1.
Lets's calculate GCF of 43,90,314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,90,314 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 314
:1,2,157,314
Greatest Common Factor
We found the factors 43,90,314 . The biggest common factor number is the GCF number.
So the greatest common factor 43,90,314 is 1.
Lets's calculate LCM of 61,636,148
| 2 | 61, 636, 148 |
| 2 | 61, 318, 74 |
| 61, 159, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 61 x 159 x 37 = 1435452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1435452
Therefore, the GCF of Fractions 43/61,90/636,314/148 is 1/1435452
Least Common Multiple of 61,636,148 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 61,636,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,636,148) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(61,636,148) x common factors =1 x 4 = 4
LCM(61,636,148) = ( 61 × 636 × 148 ) / 4
LCM(61,636,148) = 5741808 / 4
LCM(61,636,148) = 1435452
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FAQs on GCF of Fractions of 43/61, 90/636, 314/148
1. What is the HCF of 43,90,314?
The HCF of 43,90,314 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 43/61, 90/636, 314/148?
Answer: GCF of Numerators as per given numbers 43/61, 90/636, 314/148 is
GCF of Numerators i.e. for 43,90,314 is 1
LCM of denominators i.e. for 61,636,148 is 1435452.
Thus, GCF of Fractions is 1/1435452.Finally, GCF of Fractions for 43/61, 90/636, 314/148 is 1/1435452.