GCF of 72/683, 84/216, 558/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 72/683, 84/216, 558/961 i.e 6/141774408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/683, 84/216, 558/961.
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 72/683,84/216,558/961?
Given fractions are 72/683,84/216,558/961
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 72/683,84/216,558/961, numerators are 72,84,558
Denominators are 683,216,961
The GCF of 72,84,558 is 6 .
LCM of 683,216,961 is 141774408.
The greatest common factor of 72/683,84/216,558/961 = [GCF of 72,84,558]/[LCM of 683,216,961]= 6/141774408
Therefore, the GCF of 72/683,84/216,558/961 is 6/141774408.
To find the highest common factor of 72,84,558, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The HCF of 72,84,558 is 6.
Lets's calculate GCF of 72,84,558
| 2 | 72, 84, 558 |
| 3 | 36, 42, 279 |
| 12, 14, 93 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 72,84,558 By Matching Biggest Common Factor Method
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 558
:1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 72,84,558 . The biggest common factor number is the GCF number.
So the greatest common factor 72,84,558 is 6.
Lets's calculate LCM of 683,216,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 141774408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/141774408
Therefore, the GCF of Fractions 72/683,84/216,558/961 is 6/141774408
Least Common Multiple of 683,216,961 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 683,216,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,216,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,216,961) x common factors =1 x 1 = 1
LCM(683,216,961) = ( 683 × 216 × 961 ) / 1
LCM(683,216,961) = 141774408 / 1
LCM(683,216,961) = 141774408
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FAQs on GCF of Fractions of 72/683, 84/216, 558/961
1. What is the HCF of 72,84,558?
The HCF of 72,84,558 is 6
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 72/683, 84/216, 558/961?
Answer: GCF of Numerators as per given numbers 72/683, 84/216, 558/961 is
GCF of Numerators i.e. for 72,84,558 is 6
LCM of denominators i.e. for 683,216,961 is 141774408.
Thus, GCF of Fractions is 6/141774408.Finally, GCF of Fractions for 72/683, 84/216, 558/961 is 6/141774408.