GCF of 1263/676, 2252/1408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1263/676, 2252/1408 i.e 1/237952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1263/676, 2252/1408.
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 1263/676,2252/1408?
Given fractions are 1263/676,2252/1408
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 1263/676,2252/1408, numerators are 1263,2252
Denominators are 676,1408
The GCF of 1263,2252 is 1 .
LCM of 676,1408 is 237952.
The greatest common factor of 1263/676,2252/1408 = [GCF of 1263,2252]/[LCM of 676,1408]= 1/237952
Therefore, the GCF of 1263/676,2252/1408 is 1/237952.
To find the highest common factor of 1263,2252, we have to find the factors of both numbers and list the highest common factor.
The factors of 1263 are 1, 3, 421, 1263
The factors of 2252 are 1, 2, 4, 563, 1126, 2252
The HCF of 1263,2252 is 1.
Lets's calculate GCF of 1263,2252
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1263,2252 By Matching Biggest Common Factor Method
Now, list down the factors of 1263
:1,3,421,1263
Now, list down the factors of 2252
:1,2,4,563,1126,2252
Greatest Common Factor
We found the factors 1263,2252 . The biggest common factor number is the GCF number.
So the greatest common factor 1263,2252 is 1.
Lets's calculate LCM of 676,1408
| 2 | 676, 1408 |
| 2 | 338, 704 |
| 169, 352 |
∴ So the LCM of the given numbers is 2 x 2 x 169 x 352 = 237952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237952
Therefore, the GCF of Fractions 1263/676,2252/1408 is 1/237952
Least Common Multiple of 676,1408 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 676,1408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,1408) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(676,1408) x common factors =4 x 1 = 4
LCM(676,1408) = ( 676 × 1408 ) / 4
LCM(676,1408) = 951808 / 4
LCM(676,1408) = 237952
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FAQs on GCF of Fractions of 1263/676, 2252/1408
1. What is the HCF of 1263,2252?
The HCF of 1263,2252 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 1263/676, 2252/1408?
Answer: GCF of Numerators as per given numbers 1263/676, 2252/1408 is
GCF of Numerators i.e. for 1263,2252 is 1
LCM of denominators i.e. for 676,1408 is 237952.
Thus, GCF of Fractions is 1/237952.Finally, GCF of Fractions for 1263/676, 2252/1408 is 1/237952.