GCF of 8701/701, 1430/2334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8701/701, 1430/2334 i.e 11/1636134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8701/701, 1430/2334.
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 8701/701,1430/2334?
Given fractions are 8701/701,1430/2334
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 8701/701,1430/2334, numerators are 8701,1430
Denominators are 701,2334
The GCF of 8701,1430 is 11 .
LCM of 701,2334 is 1636134.
The greatest common factor of 8701/701,1430/2334 = [GCF of 8701,1430]/[LCM of 701,2334]= 11/1636134
Therefore, the GCF of 8701/701,1430/2334 is 11/1636134.
To find the highest common factor of 8701,1430, we have to find the factors of both numbers and list the highest common factor.
The factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701
The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
The HCF of 8701,1430 is 11.
Lets's calculate GCF of 8701,1430
| 11 | 8701, 1430 |
| 791, 130 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8701,1430 By Matching Biggest Common Factor Method
Now, list down the factors of 8701
:1,7,11,77,113,791,1243,8701
Now, list down the factors of 1430
:1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430
Greatest Common Factor
We found the factors 8701,1430 . The biggest common factor number is the GCF number.
So the greatest common factor 8701,1430 is 11.
Lets's calculate LCM of 701,2334
Given numbers has no common factors except 1. So, there LCM is their product i.e 1636134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1636134
Therefore, the GCF of Fractions 8701/701,1430/2334 is 11/1636134
Least Common Multiple of 701,2334 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 701,2334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,2334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,2334) x common factors =1 x 1 = 1
LCM(701,2334) = ( 701 × 2334 ) / 1
LCM(701,2334) = 1636134 / 1
LCM(701,2334) = 1636134
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FAQs on GCF of Fractions of 8701/701, 1430/2334
1. What is the HCF of 8701,1430?
The HCF of 8701,1430 is 11
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 8701/701, 1430/2334?
Answer: GCF of Numerators as per given numbers 8701/701, 1430/2334 is
GCF of Numerators i.e. for 8701,1430 is 11
LCM of denominators i.e. for 701,2334 is 1636134.
Thus, GCF of Fractions is 11/1636134.Finally, GCF of Fractions for 8701/701, 1430/2334 is 11/1636134.