GCF of 1328/114, 2758/1202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1328/114, 2758/1202 i.e 2/68514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1328/114, 2758/1202.
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 1328/114,2758/1202?
Given fractions are 1328/114,2758/1202
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 1328/114,2758/1202, numerators are 1328,2758
Denominators are 114,1202
The GCF of 1328,2758 is 2 .
LCM of 114,1202 is 68514.
The greatest common factor of 1328/114,2758/1202 = [GCF of 1328,2758]/[LCM of 114,1202]= 2/68514
Therefore, the GCF of 1328/114,2758/1202 is 2/68514.
To find the highest common factor of 1328,2758, we have to find the factors of both numbers and list the highest common factor.
The factors of 1328 are 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328
The factors of 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758
The HCF of 1328,2758 is 2.
Lets's calculate GCF of 1328,2758
| 2 | 1328, 2758 |
| 664, 1379 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1328,2758 By Matching Biggest Common Factor Method
Now, list down the factors of 1328
:1,2,4,8,16,83,166,332,664,1328
Now, list down the factors of 2758
:1,2,7,14,197,394,1379,2758
Greatest Common Factor
We found the factors 1328,2758 . The biggest common factor number is the GCF number.
So the greatest common factor 1328,2758 is 2.
Lets's calculate LCM of 114,1202
| 2 | 114, 1202 |
| 57, 601 |
∴ So the LCM of the given numbers is 2 x 57 x 601 = 68514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68514
Therefore, the GCF of Fractions 1328/114,2758/1202 is 2/68514
Least Common Multiple of 114,1202 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 114,1202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,1202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(114,1202) x common factors =2 x 1 = 2
LCM(114,1202) = ( 114 × 1202 ) / 2
LCM(114,1202) = 137028 / 2
LCM(114,1202) = 68514
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FAQs on GCF of Fractions of 1328/114, 2758/1202
1. What is the HCF of 1328,2758?
The HCF of 1328,2758 is 2
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 1328/114, 2758/1202?
Answer: GCF of Numerators as per given numbers 1328/114, 2758/1202 is
GCF of Numerators i.e. for 1328,2758 is 2
LCM of denominators i.e. for 114,1202 is 68514.
Thus, GCF of Fractions is 2/68514.Finally, GCF of Fractions for 1328/114, 2758/1202 is 2/68514.