GCF of 1276/680, 5774/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1276/680, 5774/206 i.e 2/70040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1276/680, 5774/206.
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 1276/680,5774/206?
Given fractions are 1276/680,5774/206
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 1276/680,5774/206, numerators are 1276,5774
Denominators are 680,206
The GCF of 1276,5774 is 2 .
LCM of 680,206 is 70040.
The greatest common factor of 1276/680,5774/206 = [GCF of 1276,5774]/[LCM of 680,206]= 2/70040
Therefore, the GCF of 1276/680,5774/206 is 2/70040.
To find the highest common factor of 1276,5774, we have to find the factors of both numbers and list the highest common factor.
The factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276
The factors of 5774 are 1, 2, 2887, 5774
The HCF of 1276,5774 is 2.
Lets's calculate GCF of 1276,5774
| 2 | 1276, 5774 |
| 638, 2887 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1276,5774 By Matching Biggest Common Factor Method
Now, list down the factors of 1276
:1,2,4,11,22,29,44,58,116,319,638,1276
Now, list down the factors of 5774
:1,2,2887,5774
Greatest Common Factor
We found the factors 1276,5774 . The biggest common factor number is the GCF number.
So the greatest common factor 1276,5774 is 2.
Lets's calculate LCM of 680,206
| 2 | 680, 206 |
| 340, 103 |
∴ So the LCM of the given numbers is 2 x 340 x 103 = 70040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70040
Therefore, the GCF of Fractions 1276/680,5774/206 is 2/70040
Least Common Multiple of 680,206 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 680,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(680,206) x common factors =2 x 1 = 2
LCM(680,206) = ( 680 × 206 ) / 2
LCM(680,206) = 140080 / 2
LCM(680,206) = 70040
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FAQs on GCF of Fractions of 1276/680, 5774/206
1. What is the HCF of 1276,5774?
The HCF of 1276,5774 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 1276/680, 5774/206?
Answer: GCF of Numerators as per given numbers 1276/680, 5774/206 is
GCF of Numerators i.e. for 1276,5774 is 2
LCM of denominators i.e. for 680,206 is 70040.
Thus, GCF of Fractions is 2/70040.Finally, GCF of Fractions for 1276/680, 5774/206 is 2/70040.