GCF of 563/454, 3438/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 563/454, 3438/870 i.e 1/197490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 563/454, 3438/870.
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 563/454,3438/870?
Given fractions are 563/454,3438/870
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 563/454,3438/870, numerators are 563,3438
Denominators are 454,870
The GCF of 563,3438 is 1 .
LCM of 454,870 is 197490.
The greatest common factor of 563/454,3438/870 = [GCF of 563,3438]/[LCM of 454,870]= 1/197490
Therefore, the GCF of 563/454,3438/870 is 1/197490.
To find the highest common factor of 563,3438, we have to find the factors of both numbers and list the highest common factor.
The factors of 563 are 1, 563
The factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The HCF of 563,3438 is 1.
Lets's calculate GCF of 563,3438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 563,3438 By Matching Biggest Common Factor Method
Now, list down the factors of 563
:1,563
Now, list down the factors of 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 563,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 563,3438 is 1.
Lets's calculate LCM of 454,870
| 2 | 454, 870 |
| 227, 435 |
∴ So the LCM of the given numbers is 2 x 227 x 435 = 197490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197490
Therefore, the GCF of Fractions 563/454,3438/870 is 1/197490
Least Common Multiple of 454,870 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 454,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,870) x common factors =2 x 1 = 2
LCM(454,870) = ( 454 × 870 ) / 2
LCM(454,870) = 394980 / 2
LCM(454,870) = 197490
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FAQs on GCF of Fractions of 563/454, 3438/870
1. What is the HCF of 563,3438?
The HCF of 563,3438 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 563/454, 3438/870?
Answer: GCF of Numerators as per given numbers 563/454, 3438/870 is
GCF of Numerators i.e. for 563,3438 is 1
LCM of denominators i.e. for 454,870 is 197490.
Thus, GCF of Fractions is 1/197490.Finally, GCF of Fractions for 563/454, 3438/870 is 1/197490.