GCF of 526/35, 527/1924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 526/35, 527/1924 i.e 1/67340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 526/35, 527/1924.
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 526/35,527/1924?
Given fractions are 526/35,527/1924
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 526/35,527/1924, numerators are 526,527
Denominators are 35,1924
The GCF of 526,527 is 1 .
LCM of 35,1924 is 67340.
The greatest common factor of 526/35,527/1924 = [GCF of 526,527]/[LCM of 35,1924]= 1/67340
Therefore, the GCF of 526/35,527/1924 is 1/67340.
To find the highest common factor of 526,527, we have to find the factors of both numbers and list the highest common factor.
The factors of 526 are 1, 2, 263, 526
The factors of 527 are 1, 17, 31, 527
The HCF of 526,527 is 1.
Lets's calculate GCF of 526,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 526,527 By Matching Biggest Common Factor Method
Now, list down the factors of 526
:1,2,263,526
Now, list down the factors of 527
:1,17,31,527
Greatest Common Factor
We found the factors 526,527 . The biggest common factor number is the GCF number.
So the greatest common factor 526,527 is 1.
Lets's calculate LCM of 35,1924
Given numbers has no common factors except 1. So, there LCM is their product i.e 67340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67340
Therefore, the GCF of Fractions 526/35,527/1924 is 1/67340
Least Common Multiple of 35,1924 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 35,1924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,1924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,1924) x common factors =1 x 1 = 1
LCM(35,1924) = ( 35 × 1924 ) / 1
LCM(35,1924) = 67340 / 1
LCM(35,1924) = 67340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 526/35, 527/1924
1. What is the HCF of 526,527?
The HCF of 526,527 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 526/35, 527/1924?
Answer: GCF of Numerators as per given numbers 526/35, 527/1924 is
GCF of Numerators i.e. for 526,527 is 1
LCM of denominators i.e. for 35,1924 is 67340.
Thus, GCF of Fractions is 1/67340.Finally, GCF of Fractions for 526/35, 527/1924 is 1/67340.