GCF of 88/427, 206/673, 372/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 88/427, 206/673, 372/412 i.e 2/118396852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/427, 206/673, 372/412.
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 88/427,206/673,372/412?
Given fractions are 88/427,206/673,372/412
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 88/427,206/673,372/412, numerators are 88,206,372
Denominators are 427,673,412
The GCF of 88,206,372 is 2 .
LCM of 427,673,412 is 118396852.
The greatest common factor of 88/427,206/673,372/412 = [GCF of 88,206,372]/[LCM of 427,673,412]= 2/118396852
Therefore, the GCF of 88/427,206/673,372/412 is 2/118396852.
To find the highest common factor of 88,206,372, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 206 are 1, 2, 103, 206
The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
The HCF of 88,206,372 is 2.
Lets's calculate GCF of 88,206,372
| 2 | 88, 206, 372 |
| 44, 103, 186 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 88,206,372 By Matching Biggest Common Factor Method
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 206
:1,2,103,206
Now, list down the factors of 372
:1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 88,206,372 . The biggest common factor number is the GCF number.
So the greatest common factor 88,206,372 is 2.
Lets's calculate LCM of 427,673,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 118396852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118396852
Therefore, the GCF of Fractions 88/427,206/673,372/412 is 2/118396852
Least Common Multiple of 427,673,412 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 427,673,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,673,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,673,412) x common factors =1 x 1 = 1
LCM(427,673,412) = ( 427 × 673 × 412 ) / 1
LCM(427,673,412) = 118396852 / 1
LCM(427,673,412) = 118396852
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FAQs on GCF of Fractions of 88/427, 206/673, 372/412
1. What is the HCF of 88,206,372?
The HCF of 88,206,372 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 88/427, 206/673, 372/412?
Answer: GCF of Numerators as per given numbers 88/427, 206/673, 372/412 is
GCF of Numerators i.e. for 88,206,372 is 2
LCM of denominators i.e. for 427,673,412 is 118396852.
Thus, GCF of Fractions is 2/118396852.Finally, GCF of Fractions for 88/427, 206/673, 372/412 is 2/118396852.