GCF of 43/562, 70/574, 277/437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/562, 70/574, 277/437 i.e 1/70485478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/562, 70/574, 277/437.
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 43/562,70/574,277/437?
Given fractions are 43/562,70/574,277/437
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 43/562,70/574,277/437, numerators are 43,70,277
Denominators are 562,574,437
The GCF of 43,70,277 is 1 .
LCM of 562,574,437 is 70485478.
The greatest common factor of 43/562,70/574,277/437 = [GCF of 43,70,277]/[LCM of 562,574,437]= 1/70485478
Therefore, the GCF of 43/562,70/574,277/437 is 1/70485478.
To find the highest common factor of 43,70,277, 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 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 277 are 1, 277
The HCF of 43,70,277 is 1.
Lets's calculate GCF of 43,70,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,70,277 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 277
:1,277
Greatest Common Factor
We found the factors 43,70,277 . The biggest common factor number is the GCF number.
So the greatest common factor 43,70,277 is 1.
Lets's calculate LCM of 562,574,437
| 2 | 562, 574, 437 |
| 281, 287, 437 |
∴ So the LCM of the given numbers is 2 x 281 x 287 x 437 = 70485478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70485478
Therefore, the GCF of Fractions 43/562,70/574,277/437 is 1/70485478
Least Common Multiple of 562,574,437 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 562,574,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,574,437) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(562,574,437) x common factors =1 x 2 = 2
LCM(562,574,437) = ( 562 × 574 × 437 ) / 2
LCM(562,574,437) = 140970956 / 2
LCM(562,574,437) = 70485478
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FAQs on GCF of Fractions of 43/562, 70/574, 277/437
1. What is the HCF of 43,70,277?
The HCF of 43,70,277 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 43/562, 70/574, 277/437?
Answer: GCF of Numerators as per given numbers 43/562, 70/574, 277/437 is
GCF of Numerators i.e. for 43,70,277 is 1
LCM of denominators i.e. for 562,574,437 is 70485478.
Thus, GCF of Fractions is 1/70485478.Finally, GCF of Fractions for 43/562, 70/574, 277/437 is 1/70485478.