GCF of 2267/256, 6377/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2267/256, 6377/310 i.e 1/39680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2267/256, 6377/310.
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 2267/256,6377/310?
Given fractions are 2267/256,6377/310
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 2267/256,6377/310, numerators are 2267,6377
Denominators are 256,310
The GCF of 2267,6377 is 1 .
LCM of 256,310 is 39680.
The greatest common factor of 2267/256,6377/310 = [GCF of 2267,6377]/[LCM of 256,310]= 1/39680
Therefore, the GCF of 2267/256,6377/310 is 1/39680.
To find the highest common factor of 2267,6377, we have to find the factors of both numbers and list the highest common factor.
The factors of 2267 are 1, 2267
The factors of 6377 are 1, 7, 911, 6377
The HCF of 2267,6377 is 1.
Lets's calculate GCF of 2267,6377
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2267,6377 By Matching Biggest Common Factor Method
Now, list down the factors of 2267
:1,2267
Now, list down the factors of 6377
:1,7,911,6377
Greatest Common Factor
We found the factors 2267,6377 . The biggest common factor number is the GCF number.
So the greatest common factor 2267,6377 is 1.
Lets's calculate LCM of 256,310
| 2 | 256, 310 |
| 128, 155 |
∴ So the LCM of the given numbers is 2 x 128 x 155 = 39680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39680
Therefore, the GCF of Fractions 2267/256,6377/310 is 1/39680
Least Common Multiple of 256,310 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 256,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,310) x common factors =2 x 1 = 2
LCM(256,310) = ( 256 × 310 ) / 2
LCM(256,310) = 79360 / 2
LCM(256,310) = 39680
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FAQs on GCF of Fractions of 2267/256, 6377/310
1. What is the HCF of 2267,6377?
The HCF of 2267,6377 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 2267/256, 6377/310?
Answer: GCF of Numerators as per given numbers 2267/256, 6377/310 is
GCF of Numerators i.e. for 2267,6377 is 1
LCM of denominators i.e. for 256,310 is 39680.
Thus, GCF of Fractions is 1/39680.Finally, GCF of Fractions for 2267/256, 6377/310 is 1/39680.