GCF of 2735/214, 7722/2230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2735/214, 7722/2230 i.e 1/238610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2735/214, 7722/2230.
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 2735/214,7722/2230?
Given fractions are 2735/214,7722/2230
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 2735/214,7722/2230, numerators are 2735,7722
Denominators are 214,2230
The GCF of 2735,7722 is 1 .
LCM of 214,2230 is 238610.
The greatest common factor of 2735/214,7722/2230 = [GCF of 2735,7722]/[LCM of 214,2230]= 1/238610
Therefore, the GCF of 2735/214,7722/2230 is 1/238610.
To find the highest common factor of 2735,7722, we have to find the factors of both numbers and list the highest common factor.
The factors of 2735 are 1, 5, 547, 2735
The factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722
The HCF of 2735,7722 is 1.
Lets's calculate GCF of 2735,7722
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2735,7722 By Matching Biggest Common Factor Method
Now, list down the factors of 2735
:1,5,547,2735
Now, list down the factors of 7722
:1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722
Greatest Common Factor
We found the factors 2735,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 2735,7722 is 1.
Lets's calculate LCM of 214,2230
| 2 | 214, 2230 |
| 107, 1115 |
∴ So the LCM of the given numbers is 2 x 107 x 1115 = 238610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238610
Therefore, the GCF of Fractions 2735/214,7722/2230 is 1/238610
Least Common Multiple of 214,2230 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 214,2230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,2230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,2230) x common factors =2 x 1 = 2
LCM(214,2230) = ( 214 × 2230 ) / 2
LCM(214,2230) = 477220 / 2
LCM(214,2230) = 238610
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FAQs on GCF of Fractions of 2735/214, 7722/2230
1. What is the HCF of 2735,7722?
The HCF of 2735,7722 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 2735/214, 7722/2230?
Answer: GCF of Numerators as per given numbers 2735/214, 7722/2230 is
GCF of Numerators i.e. for 2735,7722 is 1
LCM of denominators i.e. for 214,2230 is 238610.
Thus, GCF of Fractions is 1/238610.Finally, GCF of Fractions for 2735/214, 7722/2230 is 1/238610.