GCF of 1231/294, 7756/5502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1231/294, 7756/5502 i.e 1/38514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1231/294, 7756/5502.
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 1231/294,7756/5502?
Given fractions are 1231/294,7756/5502
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 1231/294,7756/5502, numerators are 1231,7756
Denominators are 294,5502
The GCF of 1231,7756 is 1 .
LCM of 294,5502 is 38514.
The greatest common factor of 1231/294,7756/5502 = [GCF of 1231,7756]/[LCM of 294,5502]= 1/38514
Therefore, the GCF of 1231/294,7756/5502 is 1/38514.
To find the highest common factor of 1231,7756, we have to find the factors of both numbers and list the highest common factor.
The factors of 1231 are 1, 1231
The factors of 7756 are 1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939, 3878, 7756
The HCF of 1231,7756 is 1.
Lets's calculate GCF of 1231,7756
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1231,7756 By Matching Biggest Common Factor Method
Now, list down the factors of 1231
:1,1231
Now, list down the factors of 7756
:1,2,4,7,14,28,277,554,1108,1939,3878,7756
Greatest Common Factor
We found the factors 1231,7756 . The biggest common factor number is the GCF number.
So the greatest common factor 1231,7756 is 1.
Lets's calculate LCM of 294,5502
| 2 | 294, 5502 |
| 3 | 147, 2751 |
| 7 | 49, 917 |
| 7, 131 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 131 = 38514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38514
Therefore, the GCF of Fractions 1231/294,7756/5502 is 1/38514
Least Common Multiple of 294,5502 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 294,5502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,5502) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(294,5502) x common factors =42 x 1 = 42
LCM(294,5502) = ( 294 × 5502 ) / 42
LCM(294,5502) = 1617588 / 42
LCM(294,5502) = 38514
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FAQs on GCF of Fractions of 1231/294, 7756/5502
1. What is the HCF of 1231,7756?
The HCF of 1231,7756 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 1231/294, 7756/5502?
Answer: GCF of Numerators as per given numbers 1231/294, 7756/5502 is
GCF of Numerators i.e. for 1231,7756 is 1
LCM of denominators i.e. for 294,5502 is 38514.
Thus, GCF of Fractions is 1/38514.Finally, GCF of Fractions for 1231/294, 7756/5502 is 1/38514.