GCF of 637/383, 760/692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/383, 760/692 i.e 1/265036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/383, 760/692.
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 637/383,760/692?
Given fractions are 637/383,760/692
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 637/383,760/692, numerators are 637,760
Denominators are 383,692
The GCF of 637,760 is 1 .
LCM of 383,692 is 265036.
The greatest common factor of 637/383,760/692 = [GCF of 637,760]/[LCM of 383,692]= 1/265036
Therefore, the GCF of 637/383,760/692 is 1/265036.
To find the highest common factor of 637,760, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The HCF of 637,760 is 1.
Lets's calculate GCF of 637,760
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 637,760 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 637,760 . The biggest common factor number is the GCF number.
So the greatest common factor 637,760 is 1.
Lets's calculate LCM of 383,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 265036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265036
Therefore, the GCF of Fractions 637/383,760/692 is 1/265036
Least Common Multiple of 383,692 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 383,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,692) x common factors =1 x 1 = 1
LCM(383,692) = ( 383 × 692 ) / 1
LCM(383,692) = 265036 / 1
LCM(383,692) = 265036
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FAQs on GCF of Fractions of 637/383, 760/692
1. What is the HCF of 637,760?
The HCF of 637,760 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 637/383, 760/692?
Answer: GCF of Numerators as per given numbers 637/383, 760/692 is
GCF of Numerators i.e. for 637,760 is 1
LCM of denominators i.e. for 383,692 is 265036.
Thus, GCF of Fractions is 1/265036.Finally, GCF of Fractions for 637/383, 760/692 is 1/265036.