GCF of 5174/771, 7304/4210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5174/771, 7304/4210 i.e 2/3245910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5174/771, 7304/4210.
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 5174/771,7304/4210?
Given fractions are 5174/771,7304/4210
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 5174/771,7304/4210, numerators are 5174,7304
Denominators are 771,4210
The GCF of 5174,7304 is 2 .
LCM of 771,4210 is 3245910.
The greatest common factor of 5174/771,7304/4210 = [GCF of 5174,7304]/[LCM of 771,4210]= 2/3245910
Therefore, the GCF of 5174/771,7304/4210 is 2/3245910.
To find the highest common factor of 5174,7304, we have to find the factors of both numbers and list the highest common factor.
The factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174
The factors of 7304 are 1, 2, 4, 8, 11, 22, 44, 83, 88, 166, 332, 664, 913, 1826, 3652, 7304
The HCF of 5174,7304 is 2.
Lets's calculate GCF of 5174,7304
| 2 | 5174, 7304 |
| 2587, 3652 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5174,7304 By Matching Biggest Common Factor Method
Now, list down the factors of 5174
:1,2,13,26,199,398,2587,5174
Now, list down the factors of 7304
:1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304
Greatest Common Factor
We found the factors 5174,7304 . The biggest common factor number is the GCF number.
So the greatest common factor 5174,7304 is 2.
Lets's calculate LCM of 771,4210
Given numbers has no common factors except 1. So, there LCM is their product i.e 3245910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3245910
Therefore, the GCF of Fractions 5174/771,7304/4210 is 2/3245910
Least Common Multiple of 771,4210 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 771,4210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,4210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,4210) x common factors =1 x 1 = 1
LCM(771,4210) = ( 771 × 4210 ) / 1
LCM(771,4210) = 3245910 / 1
LCM(771,4210) = 3245910
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FAQs on GCF of Fractions of 5174/771, 7304/4210
1. What is the HCF of 5174,7304?
The HCF of 5174,7304 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 5174/771, 7304/4210?
Answer: GCF of Numerators as per given numbers 5174/771, 7304/4210 is
GCF of Numerators i.e. for 5174,7304 is 2
LCM of denominators i.e. for 771,4210 is 3245910.
Thus, GCF of Fractions is 2/3245910.Finally, GCF of Fractions for 5174/771, 7304/4210 is 2/3245910.