GCF of 34/83, 62/445, 566/602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/83, 62/445, 566/602 i.e 2/22234870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/83, 62/445, 566/602.
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 34/83,62/445,566/602?
Given fractions are 34/83,62/445,566/602
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 34/83,62/445,566/602, numerators are 34,62,566
Denominators are 83,445,602
The GCF of 34,62,566 is 2 .
LCM of 83,445,602 is 22234870.
The greatest common factor of 34/83,62/445,566/602 = [GCF of 34,62,566]/[LCM of 83,445,602]= 2/22234870
Therefore, the GCF of 34/83,62/445,566/602 is 2/22234870.
To find the highest common factor of 34,62,566, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 62 are 1, 2, 31, 62
The factors of 566 are 1, 2, 283, 566
The HCF of 34,62,566 is 2.
Lets's calculate GCF of 34,62,566
| 2 | 34, 62, 566 |
| 17, 31, 283 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,62,566 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 566
:1,2,283,566
Greatest Common Factor
We found the factors 34,62,566 . The biggest common factor number is the GCF number.
So the greatest common factor 34,62,566 is 2.
Lets's calculate LCM of 83,445,602
Given numbers has no common factors except 1. So, there LCM is their product i.e 22234870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22234870
Therefore, the GCF of Fractions 34/83,62/445,566/602 is 2/22234870
Least Common Multiple of 83,445,602 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 83,445,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,445,602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,445,602) x common factors =1 x 1 = 1
LCM(83,445,602) = ( 83 × 445 × 602 ) / 1
LCM(83,445,602) = 22234870 / 1
LCM(83,445,602) = 22234870
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FAQs on GCF of Fractions of 34/83, 62/445, 566/602
1. What is the HCF of 34,62,566?
The HCF of 34,62,566 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 34/83, 62/445, 566/602?
Answer: GCF of Numerators as per given numbers 34/83, 62/445, 566/602 is
GCF of Numerators i.e. for 34,62,566 is 2
LCM of denominators i.e. for 83,445,602 is 22234870.
Thus, GCF of Fractions is 2/22234870.Finally, GCF of Fractions for 34/83, 62/445, 566/602 is 2/22234870.