GCF of 358/601, 768/514, 543/220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 358/601, 768/514, 543/220 i.e 1/33980540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 358/601, 768/514, 543/220.
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 358/601,768/514,543/220?
Given fractions are 358/601,768/514,543/220
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 358/601,768/514,543/220, numerators are 358,768,543
Denominators are 601,514,220
The GCF of 358,768,543 is 1 .
LCM of 601,514,220 is 33980540.
The greatest common factor of 358/601,768/514,543/220 = [GCF of 358,768,543]/[LCM of 601,514,220]= 1/33980540
Therefore, the GCF of 358/601,768/514,543/220 is 1/33980540.
To find the highest common factor of 358,768,543, we have to find the factors of both numbers and list the highest common factor.
The factors of 358 are 1, 2, 179, 358
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The factors of 543 are 1, 3, 181, 543
The HCF of 358,768,543 is 1.
Lets's calculate GCF of 358,768,543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 358,768,543 By Matching Biggest Common Factor Method
Now, list down the factors of 358
:1,2,179,358
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Now, list down the factors of 543
:1,3,181,543
Greatest Common Factor
We found the factors 358,768,543 . The biggest common factor number is the GCF number.
So the greatest common factor 358,768,543 is 1.
Lets's calculate LCM of 601,514,220
| 2 | 601, 514, 220 |
| 601, 257, 110 |
∴ So the LCM of the given numbers is 2 x 601 x 257 x 110 = 33980540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33980540
Therefore, the GCF of Fractions 358/601,768/514,543/220 is 1/33980540
Least Common Multiple of 601,514,220 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 601,514,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,514,220) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(601,514,220) x common factors =1 x 2 = 2
LCM(601,514,220) = ( 601 × 514 × 220 ) / 2
LCM(601,514,220) = 67961080 / 2
LCM(601,514,220) = 33980540
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FAQs on GCF of Fractions of 358/601, 768/514, 543/220
1. What is the HCF of 358,768,543?
The HCF of 358,768,543 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 358/601, 768/514, 543/220?
Answer: GCF of Numerators as per given numbers 358/601, 768/514, 543/220 is
GCF of Numerators i.e. for 358,768,543 is 1
LCM of denominators i.e. for 601,514,220 is 33980540.
Thus, GCF of Fractions is 1/33980540.Finally, GCF of Fractions for 358/601, 768/514, 543/220 is 1/33980540.