GCF of 893/278, 542/460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 893/278, 542/460 i.e 1/63940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 893/278, 542/460.
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 893/278,542/460?
Given fractions are 893/278,542/460
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 893/278,542/460, numerators are 893,542
Denominators are 278,460
The GCF of 893,542 is 1 .
LCM of 278,460 is 63940.
The greatest common factor of 893/278,542/460 = [GCF of 893,542]/[LCM of 278,460]= 1/63940
Therefore, the GCF of 893/278,542/460 is 1/63940.
To find the highest common factor of 893,542, we have to find the factors of both numbers and list the highest common factor.
The factors of 893 are 1, 19, 47, 893
The factors of 542 are 1, 2, 271, 542
The HCF of 893,542 is 1.
Lets's calculate GCF of 893,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 893,542 By Matching Biggest Common Factor Method
Now, list down the factors of 893
:1,19,47,893
Now, list down the factors of 542
:1,2,271,542
Greatest Common Factor
We found the factors 893,542 . The biggest common factor number is the GCF number.
So the greatest common factor 893,542 is 1.
Lets's calculate LCM of 278,460
| 2 | 278, 460 |
| 139, 230 |
∴ So the LCM of the given numbers is 2 x 139 x 230 = 63940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63940
Therefore, the GCF of Fractions 893/278,542/460 is 1/63940
Least Common Multiple of 278,460 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 278,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,460) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,460) x common factors =2 x 1 = 2
LCM(278,460) = ( 278 × 460 ) / 2
LCM(278,460) = 127880 / 2
LCM(278,460) = 63940
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FAQs on GCF of Fractions of 893/278, 542/460
1. What is the HCF of 893,542?
The HCF of 893,542 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 893/278, 542/460?
Answer: GCF of Numerators as per given numbers 893/278, 542/460 is
GCF of Numerators i.e. for 893,542 is 1
LCM of denominators i.e. for 278,460 is 63940.
Thus, GCF of Fractions is 1/63940.Finally, GCF of Fractions for 893/278, 542/460 is 1/63940.