GCF of 685/81, 224/74, 114/82
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 685/81, 224/74, 114/82 i.e 1/245754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 685/81, 224/74, 114/82.
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 685/81,224/74,114/82?
Given fractions are 685/81,224/74,114/82
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 685/81,224/74,114/82, numerators are 685,224,114
Denominators are 81,74,82
The GCF of 685,224,114 is 1 .
LCM of 81,74,82 is 245754.
The greatest common factor of 685/81,224/74,114/82 = [GCF of 685,224,114]/[LCM of 81,74,82]= 1/245754
Therefore, the GCF of 685/81,224/74,114/82 is 1/245754.
To find the highest common factor of 685,224,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 685 are 1, 5, 137, 685
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 685,224,114 is 1.
Lets's calculate GCF of 685,224,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 685,224,114 By Matching Biggest Common Factor Method
Now, list down the factors of 685
:1,5,137,685
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 685,224,114 . The biggest common factor number is the GCF number.
So the greatest common factor 685,224,114 is 1.
Lets's calculate LCM of 81,74,82
| 2 | 81, 74, 82 |
| 81, 37, 41 |
∴ So the LCM of the given numbers is 2 x 81 x 37 x 41 = 245754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245754
Therefore, the GCF of Fractions 685/81,224/74,114/82 is 1/245754
Least Common Multiple of 81,74,82 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 81,74,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,74,82) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(81,74,82) x common factors =1 x 2 = 2
LCM(81,74,82) = ( 81 × 74 × 82 ) / 2
LCM(81,74,82) = 491508 / 2
LCM(81,74,82) = 245754
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FAQs on GCF of Fractions of 685/81, 224/74, 114/82
1. What is the HCF of 685,224,114?
The HCF of 685,224,114 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 685/81, 224/74, 114/82?
Answer: GCF of Numerators as per given numbers 685/81, 224/74, 114/82 is
GCF of Numerators i.e. for 685,224,114 is 1
LCM of denominators i.e. for 81,74,82 is 245754.
Thus, GCF of Fractions is 1/245754.Finally, GCF of Fractions for 685/81, 224/74, 114/82 is 1/245754.