GCF of 7077/798, 3460/1851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7077/798, 3460/1851 i.e 1/492366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7077/798, 3460/1851.
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 7077/798,3460/1851?
Given fractions are 7077/798,3460/1851
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 7077/798,3460/1851, numerators are 7077,3460
Denominators are 798,1851
The GCF of 7077,3460 is 1 .
LCM of 798,1851 is 492366.
The greatest common factor of 7077/798,3460/1851 = [GCF of 7077,3460]/[LCM of 798,1851]= 1/492366
Therefore, the GCF of 7077/798,3460/1851 is 1/492366.
To find the highest common factor of 7077,3460, we have to find the factors of both numbers and list the highest common factor.
The factors of 7077 are 1, 3, 7, 21, 337, 1011, 2359, 7077
The factors of 3460 are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460
The HCF of 7077,3460 is 1.
Lets's calculate GCF of 7077,3460
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7077,3460 By Matching Biggest Common Factor Method
Now, list down the factors of 7077
:1,3,7,21,337,1011,2359,7077
Now, list down the factors of 3460
:1,2,4,5,10,20,173,346,692,865,1730,3460
Greatest Common Factor
We found the factors 7077,3460 . The biggest common factor number is the GCF number.
So the greatest common factor 7077,3460 is 1.
Lets's calculate LCM of 798,1851
| 3 | 798, 1851 |
| 266, 617 |
∴ So the LCM of the given numbers is 3 x 266 x 617 = 492366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/492366
Therefore, the GCF of Fractions 7077/798,3460/1851 is 1/492366
Least Common Multiple of 798,1851 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 798,1851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,1851) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(798,1851) x common factors =3 x 1 = 3
LCM(798,1851) = ( 798 × 1851 ) / 3
LCM(798,1851) = 1477098 / 3
LCM(798,1851) = 492366
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FAQs on GCF of Fractions of 7077/798, 3460/1851
1. What is the HCF of 7077,3460?
The HCF of 7077,3460 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 7077/798, 3460/1851?
Answer: GCF of Numerators as per given numbers 7077/798, 3460/1851 is
GCF of Numerators i.e. for 7077,3460 is 1
LCM of denominators i.e. for 798,1851 is 492366.
Thus, GCF of Fractions is 1/492366.Finally, GCF of Fractions for 7077/798, 3460/1851 is 1/492366.