GCF of 527/69, 470/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 527/69, 470/274 i.e 1/18906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 527/69, 470/274.
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 527/69,470/274?
Given fractions are 527/69,470/274
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 527/69,470/274, numerators are 527,470
Denominators are 69,274
The GCF of 527,470 is 1 .
LCM of 69,274 is 18906.
The greatest common factor of 527/69,470/274 = [GCF of 527,470]/[LCM of 69,274]= 1/18906
Therefore, the GCF of 527/69,470/274 is 1/18906.
To find the highest common factor of 527,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 527 are 1, 17, 31, 527
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 527,470 is 1.
Lets's calculate GCF of 527,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 527,470 By Matching Biggest Common Factor Method
Now, list down the factors of 527
:1,17,31,527
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 527,470 . The biggest common factor number is the GCF number.
So the greatest common factor 527,470 is 1.
Lets's calculate LCM of 69,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 18906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18906
Therefore, the GCF of Fractions 527/69,470/274 is 1/18906
Least Common Multiple of 69,274 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 69,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,274) x common factors =1 x 1 = 1
LCM(69,274) = ( 69 × 274 ) / 1
LCM(69,274) = 18906 / 1
LCM(69,274) = 18906
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FAQs on GCF of Fractions of 527/69, 470/274
1. What is the HCF of 527,470?
The HCF of 527,470 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 527/69, 470/274?
Answer: GCF of Numerators as per given numbers 527/69, 470/274 is
GCF of Numerators i.e. for 527,470 is 1
LCM of denominators i.e. for 69,274 is 18906.
Thus, GCF of Fractions is 1/18906.Finally, GCF of Fractions for 527/69, 470/274 is 1/18906.