GCF of 7448/123, 7975/1280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7448/123, 7975/1280 i.e 1/157440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7448/123, 7975/1280.
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 7448/123,7975/1280?
Given fractions are 7448/123,7975/1280
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 7448/123,7975/1280, numerators are 7448,7975
Denominators are 123,1280
The GCF of 7448,7975 is 1 .
LCM of 123,1280 is 157440.
The greatest common factor of 7448/123,7975/1280 = [GCF of 7448,7975]/[LCM of 123,1280]= 1/157440
Therefore, the GCF of 7448/123,7975/1280 is 1/157440.
To find the highest common factor of 7448,7975, we have to find the factors of both numbers and list the highest common factor.
The factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448
The factors of 7975 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975
The HCF of 7448,7975 is 1.
Lets's calculate GCF of 7448,7975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7448,7975 By Matching Biggest Common Factor Method
Now, list down the factors of 7448
:1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448
Now, list down the factors of 7975
:1,5,11,25,29,55,145,275,319,725,1595,7975
Greatest Common Factor
We found the factors 7448,7975 . The biggest common factor number is the GCF number.
So the greatest common factor 7448,7975 is 1.
Lets's calculate LCM of 123,1280
Given numbers has no common factors except 1. So, there LCM is their product i.e 157440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157440
Therefore, the GCF of Fractions 7448/123,7975/1280 is 1/157440
Least Common Multiple of 123,1280 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 123,1280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,1280) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,1280) x common factors =1 x 1 = 1
LCM(123,1280) = ( 123 × 1280 ) / 1
LCM(123,1280) = 157440 / 1
LCM(123,1280) = 157440
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7448/123, 7975/1280
1. What is the HCF of 7448,7975?
The HCF of 7448,7975 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 7448/123, 7975/1280?
Answer: GCF of Numerators as per given numbers 7448/123, 7975/1280 is
GCF of Numerators i.e. for 7448,7975 is 1
LCM of denominators i.e. for 123,1280 is 157440.
Thus, GCF of Fractions is 1/157440.Finally, GCF of Fractions for 7448/123, 7975/1280 is 1/157440.