GCF of 5862/274, 7760/874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5862/274, 7760/874 i.e 2/119738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5862/274, 7760/874.
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 5862/274,7760/874?
Given fractions are 5862/274,7760/874
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 5862/274,7760/874, numerators are 5862,7760
Denominators are 274,874
The GCF of 5862,7760 is 2 .
LCM of 274,874 is 119738.
The greatest common factor of 5862/274,7760/874 = [GCF of 5862,7760]/[LCM of 274,874]= 2/119738
Therefore, the GCF of 5862/274,7760/874 is 2/119738.
To find the highest common factor of 5862,7760, we have to find the factors of both numbers and list the highest common factor.
The factors of 5862 are 1, 2, 3, 6, 977, 1954, 2931, 5862
The factors of 7760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970, 1552, 1940, 3880, 7760
The HCF of 5862,7760 is 2.
Lets's calculate GCF of 5862,7760
| 2 | 5862, 7760 |
| 2931, 3880 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5862,7760 By Matching Biggest Common Factor Method
Now, list down the factors of 5862
:1,2,3,6,977,1954,2931,5862
Now, list down the factors of 7760
:1,2,4,5,8,10,16,20,40,80,97,194,388,485,776,970,1552,1940,3880,7760
Greatest Common Factor
We found the factors 5862,7760 . The biggest common factor number is the GCF number.
So the greatest common factor 5862,7760 is 2.
Lets's calculate LCM of 274,874
| 2 | 274, 874 |
| 137, 437 |
∴ So the LCM of the given numbers is 2 x 137 x 437 = 119738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119738
Therefore, the GCF of Fractions 5862/274,7760/874 is 2/119738
Least Common Multiple of 274,874 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 274,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,874) x common factors =2 x 1 = 2
LCM(274,874) = ( 274 × 874 ) / 2
LCM(274,874) = 239476 / 2
LCM(274,874) = 119738
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FAQs on GCF of Fractions of 5862/274, 7760/874
1. What is the HCF of 5862,7760?
The HCF of 5862,7760 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 5862/274, 7760/874?
Answer: GCF of Numerators as per given numbers 5862/274, 7760/874 is
GCF of Numerators i.e. for 5862,7760 is 2
LCM of denominators i.e. for 274,874 is 119738.
Thus, GCF of Fractions is 2/119738.Finally, GCF of Fractions for 5862/274, 7760/874 is 2/119738.