GCF of 410/51, 768/57, 358/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 410/51, 768/57, 358/538 i.e 2/521322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/51, 768/57, 358/538.
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 410/51,768/57,358/538?
Given fractions are 410/51,768/57,358/538
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 410/51,768/57,358/538, numerators are 410,768,358
Denominators are 51,57,538
The GCF of 410,768,358 is 2 .
LCM of 51,57,538 is 521322.
The greatest common factor of 410/51,768/57,358/538 = [GCF of 410,768,358]/[LCM of 51,57,538]= 2/521322
Therefore, the GCF of 410/51,768/57,358/538 is 2/521322.
To find the highest common factor of 410,768,358, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
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 358 are 1, 2, 179, 358
The HCF of 410,768,358 is 2.
Lets's calculate GCF of 410,768,358
| 2 | 410, 768, 358 |
| 205, 384, 179 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 410,768,358 By Matching Biggest Common Factor Method
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
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 358
:1,2,179,358
Greatest Common Factor
We found the factors 410,768,358 . The biggest common factor number is the GCF number.
So the greatest common factor 410,768,358 is 2.
Lets's calculate LCM of 51,57,538
| 3 | 51, 57, 538 |
| 17, 19, 538 |
∴ So the LCM of the given numbers is 3 x 17 x 19 x 538 = 521322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/521322
Therefore, the GCF of Fractions 410/51,768/57,358/538 is 2/521322
Least Common Multiple of 51,57,538 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 51,57,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,57,538) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,57,538) x common factors =1 x 3 = 3
LCM(51,57,538) = ( 51 × 57 × 538 ) / 3
LCM(51,57,538) = 1563966 / 3
LCM(51,57,538) = 521322
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FAQs on GCF of Fractions of 410/51, 768/57, 358/538
1. What is the HCF of 410,768,358?
The HCF of 410,768,358 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 410/51, 768/57, 358/538?
Answer: GCF of Numerators as per given numbers 410/51, 768/57, 358/538 is
GCF of Numerators i.e. for 410,768,358 is 2
LCM of denominators i.e. for 51,57,538 is 521322.
Thus, GCF of Fractions is 2/521322.Finally, GCF of Fractions for 410/51, 768/57, 358/538 is 2/521322.