GCF of 452/87, 208/13, 740/19
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 452/87, 208/13, 740/19 i.e 4/21489 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/87, 208/13, 740/19.
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 452/87,208/13,740/19?
Given fractions are 452/87,208/13,740/19
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 452/87,208/13,740/19, numerators are 452,208,740
Denominators are 87,13,19
The GCF of 452,208,740 is 4 .
LCM of 87,13,19 is 21489.
The greatest common factor of 452/87,208/13,740/19 = [GCF of 452,208,740]/[LCM of 87,13,19]= 4/21489
Therefore, the GCF of 452/87,208/13,740/19 is 4/21489.
To find the highest common factor of 452,208,740, we have to find the factors of both numbers and list the highest common factor.
The factors of 452 are 1, 2, 4, 113, 226, 452
The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The HCF of 452,208,740 is 4.
Lets's calculate GCF of 452,208,740
| 2 | 452, 208, 740 |
| 2 | 226, 104, 370 |
| 113, 52, 185 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 452,208,740 By Matching Biggest Common Factor Method
Now, list down the factors of 452
:1,2,4,113,226,452
Now, list down the factors of 208
:1,2,4,8,13,16,26,52,104,208
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 452,208,740 . The biggest common factor number is the GCF number.
So the greatest common factor 452,208,740 is 4.
Lets's calculate LCM of 87,13,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 21489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21489
Therefore, the GCF of Fractions 452/87,208/13,740/19 is 4/21489
Least Common Multiple of 87,13,19 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 87,13,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,13,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,13,19) x common factors =1 x 1 = 1
LCM(87,13,19) = ( 87 × 13 × 19 ) / 1
LCM(87,13,19) = 21489 / 1
LCM(87,13,19) = 21489
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FAQs on GCF of Fractions of 452/87, 208/13, 740/19
1. What is the HCF of 452,208,740?
The HCF of 452,208,740 is 4
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 452/87, 208/13, 740/19?
Answer: GCF of Numerators as per given numbers 452/87, 208/13, 740/19 is
GCF of Numerators i.e. for 452,208,740 is 4
LCM of denominators i.e. for 87,13,19 is 21489.
Thus, GCF of Fractions is 4/21489.Finally, GCF of Fractions for 452/87, 208/13, 740/19 is 4/21489.