GCF of 7595/757, 9438/8640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7595/757, 9438/8640 i.e 1/6540480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7595/757, 9438/8640.
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 7595/757,9438/8640?
Given fractions are 7595/757,9438/8640
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 7595/757,9438/8640, numerators are 7595,9438
Denominators are 757,8640
The GCF of 7595,9438 is 1 .
LCM of 757,8640 is 6540480.
The greatest common factor of 7595/757,9438/8640 = [GCF of 7595,9438]/[LCM of 757,8640]= 1/6540480
Therefore, the GCF of 7595/757,9438/8640 is 1/6540480.
To find the highest common factor of 7595,9438, we have to find the factors of both numbers and list the highest common factor.
The factors of 7595 are 1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595
The factors of 9438 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438
The HCF of 7595,9438 is 1.
Lets's calculate GCF of 7595,9438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7595,9438 By Matching Biggest Common Factor Method
Now, list down the factors of 7595
:1,5,7,31,35,49,155,217,245,1085,1519,7595
Now, list down the factors of 9438
:1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438
Greatest Common Factor
We found the factors 7595,9438 . The biggest common factor number is the GCF number.
So the greatest common factor 7595,9438 is 1.
Lets's calculate LCM of 757,8640
Given numbers has no common factors except 1. So, there LCM is their product i.e 6540480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6540480
Therefore, the GCF of Fractions 7595/757,9438/8640 is 1/6540480
Least Common Multiple of 757,8640 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 757,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,8640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,8640) x common factors =1 x 1 = 1
LCM(757,8640) = ( 757 × 8640 ) / 1
LCM(757,8640) = 6540480 / 1
LCM(757,8640) = 6540480
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FAQs on GCF of Fractions of 7595/757, 9438/8640
1. What is the HCF of 7595,9438?
The HCF of 7595,9438 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 7595/757, 9438/8640?
Answer: GCF of Numerators as per given numbers 7595/757, 9438/8640 is
GCF of Numerators i.e. for 7595,9438 is 1
LCM of denominators i.e. for 757,8640 is 6540480.
Thus, GCF of Fractions is 1/6540480.Finally, GCF of Fractions for 7595/757, 9438/8640 is 1/6540480.