GCF of 758/354, 745/886, 421/431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/354, 745/886, 421/431 i.e 1/67590282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/354, 745/886, 421/431.
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 758/354,745/886,421/431?
Given fractions are 758/354,745/886,421/431
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 758/354,745/886,421/431, numerators are 758,745,421
Denominators are 354,886,431
The GCF of 758,745,421 is 1 .
LCM of 354,886,431 is 67590282.
The greatest common factor of 758/354,745/886,421/431 = [GCF of 758,745,421]/[LCM of 354,886,431]= 1/67590282
Therefore, the GCF of 758/354,745/886,421/431 is 1/67590282.
To find the highest common factor of 758,745,421, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 745 are 1, 5, 149, 745
The factors of 421 are 1, 421
The HCF of 758,745,421 is 1.
Lets's calculate GCF of 758,745,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 758,745,421 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 745
:1,5,149,745
Now, list down the factors of 421
:1,421
Greatest Common Factor
We found the factors 758,745,421 . The biggest common factor number is the GCF number.
So the greatest common factor 758,745,421 is 1.
Lets's calculate LCM of 354,886,431
| 2 | 354, 886, 431 |
| 177, 443, 431 |
∴ So the LCM of the given numbers is 2 x 177 x 443 x 431 = 67590282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67590282
Therefore, the GCF of Fractions 758/354,745/886,421/431 is 1/67590282
Least Common Multiple of 354,886,431 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 354,886,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,886,431) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(354,886,431) x common factors =1 x 2 = 2
LCM(354,886,431) = ( 354 × 886 × 431 ) / 2
LCM(354,886,431) = 135180564 / 2
LCM(354,886,431) = 67590282
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FAQs on GCF of Fractions of 758/354, 745/886, 421/431
1. What is the HCF of 758,745,421?
The HCF of 758,745,421 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 758/354, 745/886, 421/431?
Answer: GCF of Numerators as per given numbers 758/354, 745/886, 421/431 is
GCF of Numerators i.e. for 758,745,421 is 1
LCM of denominators i.e. for 354,886,431 is 67590282.
Thus, GCF of Fractions is 1/67590282.Finally, GCF of Fractions for 758/354, 745/886, 421/431 is 1/67590282.