GCF of 1572/707, 6931/5426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1572/707, 6931/5426 i.e 1/3836182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1572/707, 6931/5426.
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 1572/707,6931/5426?
Given fractions are 1572/707,6931/5426
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 1572/707,6931/5426, numerators are 1572,6931
Denominators are 707,5426
The GCF of 1572,6931 is 1 .
LCM of 707,5426 is 3836182.
The greatest common factor of 1572/707,6931/5426 = [GCF of 1572,6931]/[LCM of 707,5426]= 1/3836182
Therefore, the GCF of 1572/707,6931/5426 is 1/3836182.
To find the highest common factor of 1572,6931, we have to find the factors of both numbers and list the highest common factor.
The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572
The factors of 6931 are 1, 29, 239, 6931
The HCF of 1572,6931 is 1.
Lets's calculate GCF of 1572,6931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1572,6931 By Matching Biggest Common Factor Method
Now, list down the factors of 1572
:1,2,3,4,6,12,131,262,393,524,786,1572
Now, list down the factors of 6931
:1,29,239,6931
Greatest Common Factor
We found the factors 1572,6931 . The biggest common factor number is the GCF number.
So the greatest common factor 1572,6931 is 1.
Lets's calculate LCM of 707,5426
Given numbers has no common factors except 1. So, there LCM is their product i.e 3836182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3836182
Therefore, the GCF of Fractions 1572/707,6931/5426 is 1/3836182
Least Common Multiple of 707,5426 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 707,5426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,5426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,5426) x common factors =1 x 1 = 1
LCM(707,5426) = ( 707 × 5426 ) / 1
LCM(707,5426) = 3836182 / 1
LCM(707,5426) = 3836182
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FAQs on GCF of Fractions of 1572/707, 6931/5426
1. What is the HCF of 1572,6931?
The HCF of 1572,6931 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 1572/707, 6931/5426?
Answer: GCF of Numerators as per given numbers 1572/707, 6931/5426 is
GCF of Numerators i.e. for 1572,6931 is 1
LCM of denominators i.e. for 707,5426 is 3836182.
Thus, GCF of Fractions is 1/3836182.Finally, GCF of Fractions for 1572/707, 6931/5426 is 1/3836182.