GCF of 3251/474, 5780/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3251/474, 5780/610 i.e 1/144570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3251/474, 5780/610.
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 3251/474,5780/610?
Given fractions are 3251/474,5780/610
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 3251/474,5780/610, numerators are 3251,5780
Denominators are 474,610
The GCF of 3251,5780 is 1 .
LCM of 474,610 is 144570.
The greatest common factor of 3251/474,5780/610 = [GCF of 3251,5780]/[LCM of 474,610]= 1/144570
Therefore, the GCF of 3251/474,5780/610 is 1/144570.
To find the highest common factor of 3251,5780, we have to find the factors of both numbers and list the highest common factor.
The factors of 3251 are 1, 3251
The factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780
The HCF of 3251,5780 is 1.
Lets's calculate GCF of 3251,5780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3251,5780 By Matching Biggest Common Factor Method
Now, list down the factors of 3251
:1,3251
Now, list down the factors of 5780
:1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780
Greatest Common Factor
We found the factors 3251,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 3251,5780 is 1.
Lets's calculate LCM of 474,610
| 2 | 474, 610 |
| 237, 305 |
∴ So the LCM of the given numbers is 2 x 237 x 305 = 144570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144570
Therefore, the GCF of Fractions 3251/474,5780/610 is 1/144570
Least Common Multiple of 474,610 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 474,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,610) x common factors =2 x 1 = 2
LCM(474,610) = ( 474 × 610 ) / 2
LCM(474,610) = 289140 / 2
LCM(474,610) = 144570
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FAQs on GCF of Fractions of 3251/474, 5780/610
1. What is the HCF of 3251,5780?
The HCF of 3251,5780 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 3251/474, 5780/610?
Answer: GCF of Numerators as per given numbers 3251/474, 5780/610 is
GCF of Numerators i.e. for 3251,5780 is 1
LCM of denominators i.e. for 474,610 is 144570.
Thus, GCF of Fractions is 1/144570.Finally, GCF of Fractions for 3251/474, 5780/610 is 1/144570.