GCF of 5962/854, 7666/925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5962/854, 7666/925 i.e 2/789950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5962/854, 7666/925.
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 5962/854,7666/925?
Given fractions are 5962/854,7666/925
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 5962/854,7666/925, numerators are 5962,7666
Denominators are 854,925
The GCF of 5962,7666 is 2 .
LCM of 854,925 is 789950.
The greatest common factor of 5962/854,7666/925 = [GCF of 5962,7666]/[LCM of 854,925]= 2/789950
Therefore, the GCF of 5962/854,7666/925 is 2/789950.
To find the highest common factor of 5962,7666, we have to find the factors of both numbers and list the highest common factor.
The factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962
The factors of 7666 are 1, 2, 3833, 7666
The HCF of 5962,7666 is 2.
Lets's calculate GCF of 5962,7666
| 2 | 5962, 7666 |
| 2981, 3833 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5962,7666 By Matching Biggest Common Factor Method
Now, list down the factors of 5962
:1,2,11,22,271,542,2981,5962
Now, list down the factors of 7666
:1,2,3833,7666
Greatest Common Factor
We found the factors 5962,7666 . The biggest common factor number is the GCF number.
So the greatest common factor 5962,7666 is 2.
Lets's calculate LCM of 854,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 789950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/789950
Therefore, the GCF of Fractions 5962/854,7666/925 is 2/789950
Least Common Multiple of 854,925 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 854,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(854,925) x common factors =1 x 1 = 1
LCM(854,925) = ( 854 × 925 ) / 1
LCM(854,925) = 789950 / 1
LCM(854,925) = 789950
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FAQs on GCF of Fractions of 5962/854, 7666/925
1. What is the HCF of 5962,7666?
The HCF of 5962,7666 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 5962/854, 7666/925?
Answer: GCF of Numerators as per given numbers 5962/854, 7666/925 is
GCF of Numerators i.e. for 5962,7666 is 2
LCM of denominators i.e. for 854,925 is 789950.
Thus, GCF of Fractions is 2/789950.Finally, GCF of Fractions for 5962/854, 7666/925 is 2/789950.