GCF of 6276/989, 7690/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6276/989, 7690/831 i.e 2/821859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6276/989, 7690/831.
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 6276/989,7690/831?
Given fractions are 6276/989,7690/831
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 6276/989,7690/831, numerators are 6276,7690
Denominators are 989,831
The GCF of 6276,7690 is 2 .
LCM of 989,831 is 821859.
The greatest common factor of 6276/989,7690/831 = [GCF of 6276,7690]/[LCM of 989,831]= 2/821859
Therefore, the GCF of 6276/989,7690/831 is 2/821859.
To find the highest common factor of 6276,7690, we have to find the factors of both numbers and list the highest common factor.
The factors of 6276 are 1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276
The factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690
The HCF of 6276,7690 is 2.
Lets's calculate GCF of 6276,7690
| 2 | 6276, 7690 |
| 3138, 3845 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6276,7690 By Matching Biggest Common Factor Method
Now, list down the factors of 6276
:1,2,3,4,6,12,523,1046,1569,2092,3138,6276
Now, list down the factors of 7690
:1,2,5,10,769,1538,3845,7690
Greatest Common Factor
We found the factors 6276,7690 . The biggest common factor number is the GCF number.
So the greatest common factor 6276,7690 is 2.
Lets's calculate LCM of 989,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 821859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/821859
Therefore, the GCF of Fractions 6276/989,7690/831 is 2/821859
Least Common Multiple of 989,831 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 989,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,831) x common factors =1 x 1 = 1
LCM(989,831) = ( 989 × 831 ) / 1
LCM(989,831) = 821859 / 1
LCM(989,831) = 821859
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FAQs on GCF of Fractions of 6276/989, 7690/831
1. What is the HCF of 6276,7690?
The HCF of 6276,7690 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 6276/989, 7690/831?
Answer: GCF of Numerators as per given numbers 6276/989, 7690/831 is
GCF of Numerators i.e. for 6276,7690 is 2
LCM of denominators i.e. for 989,831 is 821859.
Thus, GCF of Fractions is 2/821859.Finally, GCF of Fractions for 6276/989, 7690/831 is 2/821859.