GCF of 2774/859, 7308/979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2774/859, 7308/979 i.e 2/840961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2774/859, 7308/979.
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 2774/859,7308/979?
Given fractions are 2774/859,7308/979
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 2774/859,7308/979, numerators are 2774,7308
Denominators are 859,979
The GCF of 2774,7308 is 2 .
LCM of 859,979 is 840961.
The greatest common factor of 2774/859,7308/979 = [GCF of 2774,7308]/[LCM of 859,979]= 2/840961
Therefore, the GCF of 2774/859,7308/979 is 2/840961.
To find the highest common factor of 2774,7308, we have to find the factors of both numbers and list the highest common factor.
The factors of 2774 are 1, 2, 19, 38, 73, 146, 1387, 2774
The factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308
The HCF of 2774,7308 is 2.
Lets's calculate GCF of 2774,7308
| 2 | 2774, 7308 |
| 1387, 3654 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2774,7308 By Matching Biggest Common Factor Method
Now, list down the factors of 2774
:1,2,19,38,73,146,1387,2774
Now, list down the factors of 7308
:1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308
Greatest Common Factor
We found the factors 2774,7308 . The biggest common factor number is the GCF number.
So the greatest common factor 2774,7308 is 2.
Lets's calculate LCM of 859,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 840961
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/840961
Therefore, the GCF of Fractions 2774/859,7308/979 is 2/840961
Least Common Multiple of 859,979 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 859,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,979) x common factors =1 x 1 = 1
LCM(859,979) = ( 859 × 979 ) / 1
LCM(859,979) = 840961 / 1
LCM(859,979) = 840961
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FAQs on GCF of Fractions of 2774/859, 7308/979
1. What is the HCF of 2774,7308?
The HCF of 2774,7308 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 2774/859, 7308/979?
Answer: GCF of Numerators as per given numbers 2774/859, 7308/979 is
GCF of Numerators i.e. for 2774,7308 is 2
LCM of denominators i.e. for 859,979 is 840961.
Thus, GCF of Fractions is 2/840961.Finally, GCF of Fractions for 2774/859, 7308/979 is 2/840961.