GCF of 9624/577, 7646/6953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9624/577, 7646/6953 i.e 2/4011881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9624/577, 7646/6953.
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 9624/577,7646/6953?
Given fractions are 9624/577,7646/6953
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 9624/577,7646/6953, numerators are 9624,7646
Denominators are 577,6953
The GCF of 9624,7646 is 2 .
LCM of 577,6953 is 4011881.
The greatest common factor of 9624/577,7646/6953 = [GCF of 9624,7646]/[LCM of 577,6953]= 2/4011881
Therefore, the GCF of 9624/577,7646/6953 is 2/4011881.
To find the highest common factor of 9624,7646, we have to find the factors of both numbers and list the highest common factor.
The factors of 9624 are 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624
The factors of 7646 are 1, 2, 3823, 7646
The HCF of 9624,7646 is 2.
Lets's calculate GCF of 9624,7646
| 2 | 9624, 7646 |
| 4812, 3823 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9624,7646 By Matching Biggest Common Factor Method
Now, list down the factors of 9624
:1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624
Now, list down the factors of 7646
:1,2,3823,7646
Greatest Common Factor
We found the factors 9624,7646 . The biggest common factor number is the GCF number.
So the greatest common factor 9624,7646 is 2.
Lets's calculate LCM of 577,6953
Given numbers has no common factors except 1. So, there LCM is their product i.e 4011881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4011881
Therefore, the GCF of Fractions 9624/577,7646/6953 is 2/4011881
Least Common Multiple of 577,6953 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 577,6953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,6953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,6953) x common factors =1 x 1 = 1
LCM(577,6953) = ( 577 × 6953 ) / 1
LCM(577,6953) = 4011881 / 1
LCM(577,6953) = 4011881
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FAQs on GCF of Fractions of 9624/577, 7646/6953
1. What is the HCF of 9624,7646?
The HCF of 9624,7646 is 2
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 9624/577, 7646/6953?
Answer: GCF of Numerators as per given numbers 9624/577, 7646/6953 is
GCF of Numerators i.e. for 9624,7646 is 2
LCM of denominators i.e. for 577,6953 is 4011881.
Thus, GCF of Fractions is 2/4011881.Finally, GCF of Fractions for 9624/577, 7646/6953 is 2/4011881.