GCF of 5190/894, 1570/2778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5190/894, 1570/2778 i.e 10/413922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5190/894, 1570/2778.
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 5190/894,1570/2778?
Given fractions are 5190/894,1570/2778
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 5190/894,1570/2778, numerators are 5190,1570
Denominators are 894,2778
The GCF of 5190,1570 is 10 .
LCM of 894,2778 is 413922.
The greatest common factor of 5190/894,1570/2778 = [GCF of 5190,1570]/[LCM of 894,2778]= 10/413922
Therefore, the GCF of 5190/894,1570/2778 is 10/413922.
To find the highest common factor of 5190,1570, we have to find the factors of both numbers and list the highest common factor.
The factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190
The factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570
The HCF of 5190,1570 is 10.
Lets's calculate GCF of 5190,1570
| 2 | 5190, 1570 |
| 5 | 2595, 785 |
| 519, 157 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5190,1570 By Matching Biggest Common Factor Method
Now, list down the factors of 5190
:1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190
Now, list down the factors of 1570
:1,2,5,10,157,314,785,1570
Greatest Common Factor
We found the factors 5190,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 5190,1570 is 10.
Lets's calculate LCM of 894,2778
| 2 | 894, 2778 |
| 3 | 447, 1389 |
| 149, 463 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 463 = 413922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/413922
Therefore, the GCF of Fractions 5190/894,1570/2778 is 10/413922
Least Common Multiple of 894,2778 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 894,2778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,2778) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,2778) x common factors =6 x 1 = 6
LCM(894,2778) = ( 894 × 2778 ) / 6
LCM(894,2778) = 2483532 / 6
LCM(894,2778) = 413922
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FAQs on GCF of Fractions of 5190/894, 1570/2778
1. What is the HCF of 5190,1570?
The HCF of 5190,1570 is 10
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 5190/894, 1570/2778?
Answer: GCF of Numerators as per given numbers 5190/894, 1570/2778 is
GCF of Numerators i.e. for 5190,1570 is 10
LCM of denominators i.e. for 894,2778 is 413922.
Thus, GCF of Fractions is 10/413922.Finally, GCF of Fractions for 5190/894, 1570/2778 is 10/413922.