GCF of 7968/144, 8255/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7968/144, 8255/546 i.e 1/13104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7968/144, 8255/546.
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 7968/144,8255/546?
Given fractions are 7968/144,8255/546
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 7968/144,8255/546, numerators are 7968,8255
Denominators are 144,546
The GCF of 7968,8255 is 1 .
LCM of 144,546 is 13104.
The greatest common factor of 7968/144,8255/546 = [GCF of 7968,8255]/[LCM of 144,546]= 1/13104
Therefore, the GCF of 7968/144,8255/546 is 1/13104.
To find the highest common factor of 7968,8255, we have to find the factors of both numbers and list the highest common factor.
The factors of 7968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968
The factors of 8255 are 1, 5, 13, 65, 127, 635, 1651, 8255
The HCF of 7968,8255 is 1.
Lets's calculate GCF of 7968,8255
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7968,8255 By Matching Biggest Common Factor Method
Now, list down the factors of 7968
:1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968
Now, list down the factors of 8255
:1,5,13,65,127,635,1651,8255
Greatest Common Factor
We found the factors 7968,8255 . The biggest common factor number is the GCF number.
So the greatest common factor 7968,8255 is 1.
Lets's calculate LCM of 144,546
| 2 | 144, 546 |
| 3 | 72, 273 |
| 24, 91 |
∴ So the LCM of the given numbers is 2 x 3 x 24 x 91 = 13104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13104
Therefore, the GCF of Fractions 7968/144,8255/546 is 1/13104
Least Common Multiple of 144,546 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 144,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,546) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(144,546) x common factors =6 x 1 = 6
LCM(144,546) = ( 144 × 546 ) / 6
LCM(144,546) = 78624 / 6
LCM(144,546) = 13104
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FAQs on GCF of Fractions of 7968/144, 8255/546
1. What is the HCF of 7968,8255?
The HCF of 7968,8255 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 7968/144, 8255/546?
Answer: GCF of Numerators as per given numbers 7968/144, 8255/546 is
GCF of Numerators i.e. for 7968,8255 is 1
LCM of denominators i.e. for 144,546 is 13104.
Thus, GCF of Fractions is 1/13104.Finally, GCF of Fractions for 7968/144, 8255/546 is 1/13104.