GCF of 8416/277, 7928/180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8416/277, 7928/180 i.e 8/49860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8416/277, 7928/180.
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 8416/277,7928/180?
Given fractions are 8416/277,7928/180
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 8416/277,7928/180, numerators are 8416,7928
Denominators are 277,180
The GCF of 8416,7928 is 8 .
LCM of 277,180 is 49860.
The greatest common factor of 8416/277,7928/180 = [GCF of 8416,7928]/[LCM of 277,180]= 8/49860
Therefore, the GCF of 8416/277,7928/180 is 8/49860.
To find the highest common factor of 8416,7928, we have to find the factors of both numbers and list the highest common factor.
The factors of 8416 are 1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104, 4208, 8416
The factors of 7928 are 1, 2, 4, 8, 991, 1982, 3964, 7928
The HCF of 8416,7928 is 8.
Lets's calculate GCF of 8416,7928
| 2 | 8416, 7928 |
| 2 | 4208, 3964 |
| 2 | 2104, 1982 |
| 1052, 991 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8416,7928 By Matching Biggest Common Factor Method
Now, list down the factors of 8416
:1,2,4,8,16,32,263,526,1052,2104,4208,8416
Now, list down the factors of 7928
:1,2,4,8,991,1982,3964,7928
Greatest Common Factor
We found the factors 8416,7928 . The biggest common factor number is the GCF number.
So the greatest common factor 8416,7928 is 8.
Lets's calculate LCM of 277,180
Given numbers has no common factors except 1. So, there LCM is their product i.e 49860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/49860
Therefore, the GCF of Fractions 8416/277,7928/180 is 8/49860
Least Common Multiple of 277,180 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 277,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,180) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,180) x common factors =1 x 1 = 1
LCM(277,180) = ( 277 × 180 ) / 1
LCM(277,180) = 49860 / 1
LCM(277,180) = 49860
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FAQs on GCF of Fractions of 8416/277, 7928/180
1. What is the HCF of 8416,7928?
The HCF of 8416,7928 is 8
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 8416/277, 7928/180?
Answer: GCF of Numerators as per given numbers 8416/277, 7928/180 is
GCF of Numerators i.e. for 8416,7928 is 8
LCM of denominators i.e. for 277,180 is 49860.
Thus, GCF of Fractions is 8/49860.Finally, GCF of Fractions for 8416/277, 7928/180 is 8/49860.