GCF of 8935/230, 6792/277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8935/230, 6792/277 i.e 1/63710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8935/230, 6792/277.
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 8935/230,6792/277?
Given fractions are 8935/230,6792/277
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 8935/230,6792/277, numerators are 8935,6792
Denominators are 230,277
The GCF of 8935,6792 is 1 .
LCM of 230,277 is 63710.
The greatest common factor of 8935/230,6792/277 = [GCF of 8935,6792]/[LCM of 230,277]= 1/63710
Therefore, the GCF of 8935/230,6792/277 is 1/63710.
To find the highest common factor of 8935,6792, we have to find the factors of both numbers and list the highest common factor.
The factors of 8935 are 1, 5, 1787, 8935
The factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792
The HCF of 8935,6792 is 1.
Lets's calculate GCF of 8935,6792
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8935,6792 By Matching Biggest Common Factor Method
Now, list down the factors of 8935
:1,5,1787,8935
Now, list down the factors of 6792
:1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792
Greatest Common Factor
We found the factors 8935,6792 . The biggest common factor number is the GCF number.
So the greatest common factor 8935,6792 is 1.
Lets's calculate LCM of 230,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 63710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63710
Therefore, the GCF of Fractions 8935/230,6792/277 is 1/63710
Least Common Multiple of 230,277 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 230,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,277) x common factors =1 x 1 = 1
LCM(230,277) = ( 230 × 277 ) / 1
LCM(230,277) = 63710 / 1
LCM(230,277) = 63710
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FAQs on GCF of Fractions of 8935/230, 6792/277
1. What is the HCF of 8935,6792?
The HCF of 8935,6792 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 8935/230, 6792/277?
Answer: GCF of Numerators as per given numbers 8935/230, 6792/277 is
GCF of Numerators i.e. for 8935,6792 is 1
LCM of denominators i.e. for 230,277 is 63710.
Thus, GCF of Fractions is 1/63710.Finally, GCF of Fractions for 8935/230, 6792/277 is 1/63710.