GCF of 7423/756, 7708/4957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7423/756, 7708/4957 i.e 1/3747492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7423/756, 7708/4957.
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 7423/756,7708/4957?
Given fractions are 7423/756,7708/4957
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 7423/756,7708/4957, numerators are 7423,7708
Denominators are 756,4957
The GCF of 7423,7708 is 1 .
LCM of 756,4957 is 3747492.
The greatest common factor of 7423/756,7708/4957 = [GCF of 7423,7708]/[LCM of 756,4957]= 1/3747492
Therefore, the GCF of 7423/756,7708/4957 is 1/3747492.
To find the highest common factor of 7423,7708, we have to find the factors of both numbers and list the highest common factor.
The factors of 7423 are 1, 13, 571, 7423
The factors of 7708 are 1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708
The HCF of 7423,7708 is 1.
Lets's calculate GCF of 7423,7708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7423,7708 By Matching Biggest Common Factor Method
Now, list down the factors of 7423
:1,13,571,7423
Now, list down the factors of 7708
:1,2,4,41,47,82,94,164,188,1927,3854,7708
Greatest Common Factor
We found the factors 7423,7708 . The biggest common factor number is the GCF number.
So the greatest common factor 7423,7708 is 1.
Lets's calculate LCM of 756,4957
Given numbers has no common factors except 1. So, there LCM is their product i.e 3747492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3747492
Therefore, the GCF of Fractions 7423/756,7708/4957 is 1/3747492
Least Common Multiple of 756,4957 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 756,4957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,4957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(756,4957) x common factors =1 x 1 = 1
LCM(756,4957) = ( 756 × 4957 ) / 1
LCM(756,4957) = 3747492 / 1
LCM(756,4957) = 3747492
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FAQs on GCF of Fractions of 7423/756, 7708/4957
1. What is the HCF of 7423,7708?
The HCF of 7423,7708 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 7423/756, 7708/4957?
Answer: GCF of Numerators as per given numbers 7423/756, 7708/4957 is
GCF of Numerators i.e. for 7423,7708 is 1
LCM of denominators i.e. for 756,4957 is 3747492.
Thus, GCF of Fractions is 1/3747492.Finally, GCF of Fractions for 7423/756, 7708/4957 is 1/3747492.