GCF of 524/943, 931/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 524/943, 931/769 i.e 1/725167 easily. The following is the detailed procedure to determine the greatest common factor of fractions 524/943, 931/769.
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 524/943,931/769?
Given fractions are 524/943,931/769
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 524/943,931/769, numerators are 524,931
Denominators are 943,769
The GCF of 524,931 is 1 .
LCM of 943,769 is 725167.
The greatest common factor of 524/943,931/769 = [GCF of 524,931]/[LCM of 943,769]= 1/725167
Therefore, the GCF of 524/943,931/769 is 1/725167.
To find the highest common factor of 524,931, we have to find the factors of both numbers and list the highest common factor.
The factors of 524 are 1, 2, 4, 131, 262, 524
The factors of 931 are 1, 7, 19, 49, 133, 931
The HCF of 524,931 is 1.
Lets's calculate GCF of 524,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 524,931 By Matching Biggest Common Factor Method
Now, list down the factors of 524
:1,2,4,131,262,524
Now, list down the factors of 931
:1,7,19,49,133,931
Greatest Common Factor
We found the factors 524,931 . The biggest common factor number is the GCF number.
So the greatest common factor 524,931 is 1.
Lets's calculate LCM of 943,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 725167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/725167
Therefore, the GCF of Fractions 524/943,931/769 is 1/725167
Least Common Multiple of 943,769 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 943,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,769) x common factors =1 x 1 = 1
LCM(943,769) = ( 943 × 769 ) / 1
LCM(943,769) = 725167 / 1
LCM(943,769) = 725167
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FAQs on GCF of Fractions of 524/943, 931/769
1. What is the HCF of 524,931?
The HCF of 524,931 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 524/943, 931/769?
Answer: GCF of Numerators as per given numbers 524/943, 931/769 is
GCF of Numerators i.e. for 524,931 is 1
LCM of denominators i.e. for 943,769 is 725167.
Thus, GCF of Fractions is 1/725167.Finally, GCF of Fractions for 524/943, 931/769 is 1/725167.