GCF of 3227/969, 4179/280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3227/969, 4179/280 i.e 7/271320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3227/969, 4179/280.
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 3227/969,4179/280?
Given fractions are 3227/969,4179/280
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 3227/969,4179/280, numerators are 3227,4179
Denominators are 969,280
The GCF of 3227,4179 is 7 .
LCM of 969,280 is 271320.
The greatest common factor of 3227/969,4179/280 = [GCF of 3227,4179]/[LCM of 969,280]= 7/271320
Therefore, the GCF of 3227/969,4179/280 is 7/271320.
To find the highest common factor of 3227,4179, we have to find the factors of both numbers and list the highest common factor.
The factors of 3227 are 1, 7, 461, 3227
The factors of 4179 are 1, 3, 7, 21, 199, 597, 1393, 4179
The HCF of 3227,4179 is 7.
Lets's calculate GCF of 3227,4179
| 7 | 3227, 4179 |
| 461, 597 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3227,4179 By Matching Biggest Common Factor Method
Now, list down the factors of 3227
:1,7,461,3227
Now, list down the factors of 4179
:1,3,7,21,199,597,1393,4179
Greatest Common Factor
We found the factors 3227,4179 . The biggest common factor number is the GCF number.
So the greatest common factor 3227,4179 is 7.
Lets's calculate LCM of 969,280
Given numbers has no common factors except 1. So, there LCM is their product i.e 271320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/271320
Therefore, the GCF of Fractions 3227/969,4179/280 is 7/271320
Least Common Multiple of 969,280 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 969,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,280) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,280) x common factors =1 x 1 = 1
LCM(969,280) = ( 969 × 280 ) / 1
LCM(969,280) = 271320 / 1
LCM(969,280) = 271320
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FAQs on GCF of Fractions of 3227/969, 4179/280
1. What is the HCF of 3227,4179?
The HCF of 3227,4179 is 7
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 3227/969, 4179/280?
Answer: GCF of Numerators as per given numbers 3227/969, 4179/280 is
GCF of Numerators i.e. for 3227,4179 is 7
LCM of denominators i.e. for 969,280 is 271320.
Thus, GCF of Fractions is 7/271320.Finally, GCF of Fractions for 3227/969, 4179/280 is 7/271320.