GCF of 520/19, 874/1114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 520/19, 874/1114 i.e 2/21166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/19, 874/1114.
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 520/19,874/1114?
Given fractions are 520/19,874/1114
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 520/19,874/1114, numerators are 520,874
Denominators are 19,1114
The GCF of 520,874 is 2 .
LCM of 19,1114 is 21166.
The greatest common factor of 520/19,874/1114 = [GCF of 520,874]/[LCM of 19,1114]= 2/21166
Therefore, the GCF of 520/19,874/1114 is 2/21166.
To find the highest common factor of 520,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 520,874 is 2.
Lets's calculate GCF of 520,874
| 2 | 520, 874 |
| 260, 437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 520,874 By Matching Biggest Common Factor Method
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 520,874 . The biggest common factor number is the GCF number.
So the greatest common factor 520,874 is 2.
Lets's calculate LCM of 19,1114
Given numbers has no common factors except 1. So, there LCM is their product i.e 21166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21166
Therefore, the GCF of Fractions 520/19,874/1114 is 2/21166
Least Common Multiple of 19,1114 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 19,1114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,1114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,1114) x common factors =1 x 1 = 1
LCM(19,1114) = ( 19 × 1114 ) / 1
LCM(19,1114) = 21166 / 1
LCM(19,1114) = 21166
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FAQs on GCF of Fractions of 520/19, 874/1114
1. What is the HCF of 520,874?
The HCF of 520,874 is 2
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 520/19, 874/1114?
Answer: GCF of Numerators as per given numbers 520/19, 874/1114 is
GCF of Numerators i.e. for 520,874 is 2
LCM of denominators i.e. for 19,1114 is 21166.
Thus, GCF of Fractions is 2/21166.Finally, GCF of Fractions for 520/19, 874/1114 is 2/21166.