GCF of 1268/766, 4971/2812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1268/766, 4971/2812 i.e 1/1076996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1268/766, 4971/2812.
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 1268/766,4971/2812?
Given fractions are 1268/766,4971/2812
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 1268/766,4971/2812, numerators are 1268,4971
Denominators are 766,2812
The GCF of 1268,4971 is 1 .
LCM of 766,2812 is 1076996.
The greatest common factor of 1268/766,4971/2812 = [GCF of 1268,4971]/[LCM of 766,2812]= 1/1076996
Therefore, the GCF of 1268/766,4971/2812 is 1/1076996.
To find the highest common factor of 1268,4971, we have to find the factors of both numbers and list the highest common factor.
The factors of 1268 are 1, 2, 4, 317, 634, 1268
The factors of 4971 are 1, 3, 1657, 4971
The HCF of 1268,4971 is 1.
Lets's calculate GCF of 1268,4971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1268,4971 By Matching Biggest Common Factor Method
Now, list down the factors of 1268
:1,2,4,317,634,1268
Now, list down the factors of 4971
:1,3,1657,4971
Greatest Common Factor
We found the factors 1268,4971 . The biggest common factor number is the GCF number.
So the greatest common factor 1268,4971 is 1.
Lets's calculate LCM of 766,2812
| 2 | 766, 2812 |
| 383, 1406 |
∴ So the LCM of the given numbers is 2 x 383 x 1406 = 1076996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1076996
Therefore, the GCF of Fractions 1268/766,4971/2812 is 1/1076996
Least Common Multiple of 766,2812 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 766,2812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,2812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,2812) x common factors =2 x 1 = 2
LCM(766,2812) = ( 766 × 2812 ) / 2
LCM(766,2812) = 2153992 / 2
LCM(766,2812) = 1076996
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FAQs on GCF of Fractions of 1268/766, 4971/2812
1. What is the HCF of 1268,4971?
The HCF of 1268,4971 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 1268/766, 4971/2812?
Answer: GCF of Numerators as per given numbers 1268/766, 4971/2812 is
GCF of Numerators i.e. for 1268,4971 is 1
LCM of denominators i.e. for 766,2812 is 1076996.
Thus, GCF of Fractions is 1/1076996.Finally, GCF of Fractions for 1268/766, 4971/2812 is 1/1076996.