GCF of 601/584, 188/880, 752/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 601/584, 188/880, 752/398 i.e 1/12783760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 601/584, 188/880, 752/398.
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 601/584,188/880,752/398?
Given fractions are 601/584,188/880,752/398
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 601/584,188/880,752/398, numerators are 601,188,752
Denominators are 584,880,398
The GCF of 601,188,752 is 1 .
LCM of 584,880,398 is 12783760.
The greatest common factor of 601/584,188/880,752/398 = [GCF of 601,188,752]/[LCM of 584,880,398]= 1/12783760
Therefore, the GCF of 601/584,188/880,752/398 is 1/12783760.
To find the highest common factor of 601,188,752, we have to find the factors of both numbers and list the highest common factor.
The factors of 601 are 1, 601
The factors of 188 are 1, 2, 4, 47, 94, 188
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The HCF of 601,188,752 is 1.
Lets's calculate GCF of 601,188,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 601,188,752 By Matching Biggest Common Factor Method
Now, list down the factors of 601
:1,601
Now, list down the factors of 188
:1,2,4,47,94,188
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 601,188,752 . The biggest common factor number is the GCF number.
So the greatest common factor 601,188,752 is 1.
Lets's calculate LCM of 584,880,398
| 2 | 584, 880, 398 |
| 2 | 292, 440, 199 |
| 2 | 146, 220, 199 |
| 73, 110, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 110 x 199 = 12783760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12783760
Therefore, the GCF of Fractions 601/584,188/880,752/398 is 1/12783760
Least Common Multiple of 584,880,398 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 584,880,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,880,398) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(584,880,398) x common factors =2 x 8 = 16
LCM(584,880,398) = ( 584 × 880 × 398 ) / 16
LCM(584,880,398) = 204540160 / 16
LCM(584,880,398) = 12783760
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FAQs on GCF of Fractions of 601/584, 188/880, 752/398
1. What is the HCF of 601,188,752?
The HCF of 601,188,752 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 601/584, 188/880, 752/398?
Answer: GCF of Numerators as per given numbers 601/584, 188/880, 752/398 is
GCF of Numerators i.e. for 601,188,752 is 1
LCM of denominators i.e. for 584,880,398 is 12783760.
Thus, GCF of Fractions is 1/12783760.Finally, GCF of Fractions for 601/584, 188/880, 752/398 is 1/12783760.