GCF of 1273/316, 7352/9656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1273/316, 7352/9656 i.e 1/762824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1273/316, 7352/9656.
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 1273/316,7352/9656?
Given fractions are 1273/316,7352/9656
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 1273/316,7352/9656, numerators are 1273,7352
Denominators are 316,9656
The GCF of 1273,7352 is 1 .
LCM of 316,9656 is 762824.
The greatest common factor of 1273/316,7352/9656 = [GCF of 1273,7352]/[LCM of 316,9656]= 1/762824
Therefore, the GCF of 1273/316,7352/9656 is 1/762824.
To find the highest common factor of 1273,7352, we have to find the factors of both numbers and list the highest common factor.
The factors of 1273 are 1, 19, 67, 1273
The factors of 7352 are 1, 2, 4, 8, 919, 1838, 3676, 7352
The HCF of 1273,7352 is 1.
Lets's calculate GCF of 1273,7352
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1273,7352 By Matching Biggest Common Factor Method
Now, list down the factors of 1273
:1,19,67,1273
Now, list down the factors of 7352
:1,2,4,8,919,1838,3676,7352
Greatest Common Factor
We found the factors 1273,7352 . The biggest common factor number is the GCF number.
So the greatest common factor 1273,7352 is 1.
Lets's calculate LCM of 316,9656
| 2 | 316, 9656 |
| 2 | 158, 4828 |
| 79, 2414 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 2414 = 762824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762824
Therefore, the GCF of Fractions 1273/316,7352/9656 is 1/762824
Least Common Multiple of 316,9656 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 316,9656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,9656) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,9656) x common factors =4 x 1 = 4
LCM(316,9656) = ( 316 × 9656 ) / 4
LCM(316,9656) = 3051296 / 4
LCM(316,9656) = 762824
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1273/316, 7352/9656
1. What is the HCF of 1273,7352?
The HCF of 1273,7352 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 1273/316, 7352/9656?
Answer: GCF of Numerators as per given numbers 1273/316, 7352/9656 is
GCF of Numerators i.e. for 1273,7352 is 1
LCM of denominators i.e. for 316,9656 is 762824.
Thus, GCF of Fractions is 1/762824.Finally, GCF of Fractions for 1273/316, 7352/9656 is 1/762824.