GCF of 893/70, 400/518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 893/70, 400/518 i.e 1/2590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 893/70, 400/518.
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 893/70,400/518?
Given fractions are 893/70,400/518
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 893/70,400/518, numerators are 893,400
Denominators are 70,518
The GCF of 893,400 is 1 .
LCM of 70,518 is 2590.
The greatest common factor of 893/70,400/518 = [GCF of 893,400]/[LCM of 70,518]= 1/2590
Therefore, the GCF of 893/70,400/518 is 1/2590.
To find the highest common factor of 893,400, 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 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The HCF of 893,400 is 1.
Lets's calculate GCF of 893,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 893,400 By Matching Biggest Common Factor Method
Now, list down the factors of 893
:1,19,47,893
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 893,400 . The biggest common factor number is the GCF number.
So the greatest common factor 893,400 is 1.
Lets's calculate LCM of 70,518
| 2 | 70, 518 |
| 7 | 35, 259 |
| 5, 37 |
∴ So the LCM of the given numbers is 2 x 7 x 5 x 37 = 2590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2590
Therefore, the GCF of Fractions 893/70,400/518 is 1/2590
Least Common Multiple of 70,518 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 70,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,518) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(70,518) x common factors =14 x 1 = 14
LCM(70,518) = ( 70 × 518 ) / 14
LCM(70,518) = 36260 / 14
LCM(70,518) = 2590
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FAQs on GCF of Fractions of 893/70, 400/518
1. What is the HCF of 893,400?
The HCF of 893,400 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 893/70, 400/518?
Answer: GCF of Numerators as per given numbers 893/70, 400/518 is
GCF of Numerators i.e. for 893,400 is 1
LCM of denominators i.e. for 70,518 is 2590.
Thus, GCF of Fractions is 1/2590.Finally, GCF of Fractions for 893/70, 400/518 is 1/2590.