GCF of 7358/861, 7110/1429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7358/861, 7110/1429 i.e 2/1230369 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7358/861, 7110/1429.
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 7358/861,7110/1429?
Given fractions are 7358/861,7110/1429
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 7358/861,7110/1429, numerators are 7358,7110
Denominators are 861,1429
The GCF of 7358,7110 is 2 .
LCM of 861,1429 is 1230369.
The greatest common factor of 7358/861,7110/1429 = [GCF of 7358,7110]/[LCM of 861,1429]= 2/1230369
Therefore, the GCF of 7358/861,7110/1429 is 2/1230369.
To find the highest common factor of 7358,7110, we have to find the factors of both numbers and list the highest common factor.
The factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358
The factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110
The HCF of 7358,7110 is 2.
Lets's calculate GCF of 7358,7110
| 2 | 7358, 7110 |
| 3679, 3555 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7358,7110 By Matching Biggest Common Factor Method
Now, list down the factors of 7358
:1,2,13,26,283,566,3679,7358
Now, list down the factors of 7110
:1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110
Greatest Common Factor
We found the factors 7358,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 7358,7110 is 2.
Lets's calculate LCM of 861,1429
Given numbers has no common factors except 1. So, there LCM is their product i.e 1230369
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1230369
Therefore, the GCF of Fractions 7358/861,7110/1429 is 2/1230369
Least Common Multiple of 861,1429 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 861,1429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,1429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,1429) x common factors =1 x 1 = 1
LCM(861,1429) = ( 861 × 1429 ) / 1
LCM(861,1429) = 1230369 / 1
LCM(861,1429) = 1230369
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FAQs on GCF of Fractions of 7358/861, 7110/1429
1. What is the HCF of 7358,7110?
The HCF of 7358,7110 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 7358/861, 7110/1429?
Answer: GCF of Numerators as per given numbers 7358/861, 7110/1429 is
GCF of Numerators i.e. for 7358,7110 is 2
LCM of denominators i.e. for 861,1429 is 1230369.
Thus, GCF of Fractions is 2/1230369.Finally, GCF of Fractions for 7358/861, 7110/1429 is 2/1230369.