GCF of 348/77, 559/265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 348/77, 559/265 i.e 1/20405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/77, 559/265.
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 348/77,559/265?
Given fractions are 348/77,559/265
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 348/77,559/265, numerators are 348,559
Denominators are 77,265
The GCF of 348,559 is 1 .
LCM of 77,265 is 20405.
The greatest common factor of 348/77,559/265 = [GCF of 348,559]/[LCM of 77,265]= 1/20405
Therefore, the GCF of 348/77,559/265 is 1/20405.
To find the highest common factor of 348,559, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 559 are 1, 13, 43, 559
The HCF of 348,559 is 1.
Lets's calculate GCF of 348,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 348,559 By Matching Biggest Common Factor Method
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 559
:1,13,43,559
Greatest Common Factor
We found the factors 348,559 . The biggest common factor number is the GCF number.
So the greatest common factor 348,559 is 1.
Lets's calculate LCM of 77,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 20405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20405
Therefore, the GCF of Fractions 348/77,559/265 is 1/20405
Least Common Multiple of 77,265 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 77,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,265) x common factors =1 x 1 = 1
LCM(77,265) = ( 77 × 265 ) / 1
LCM(77,265) = 20405 / 1
LCM(77,265) = 20405
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FAQs on GCF of Fractions of 348/77, 559/265
1. What is the HCF of 348,559?
The HCF of 348,559 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 348/77, 559/265?
Answer: GCF of Numerators as per given numbers 348/77, 559/265 is
GCF of Numerators i.e. for 348,559 is 1
LCM of denominators i.e. for 77,265 is 20405.
Thus, GCF of Fractions is 1/20405.Finally, GCF of Fractions for 348/77, 559/265 is 1/20405.