GCF of 3899/897, 6125/7726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3899/897, 6125/7726 i.e 7/6930222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3899/897, 6125/7726.
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 3899/897,6125/7726?
Given fractions are 3899/897,6125/7726
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 3899/897,6125/7726, numerators are 3899,6125
Denominators are 897,7726
The GCF of 3899,6125 is 7 .
LCM of 897,7726 is 6930222.
The greatest common factor of 3899/897,6125/7726 = [GCF of 3899,6125]/[LCM of 897,7726]= 7/6930222
Therefore, the GCF of 3899/897,6125/7726 is 7/6930222.
To find the highest common factor of 3899,6125, we have to find the factors of both numbers and list the highest common factor.
The factors of 3899 are 1, 7, 557, 3899
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The HCF of 3899,6125 is 7.
Lets's calculate GCF of 3899,6125
| 7 | 3899, 6125 |
| 557, 875 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3899,6125 By Matching Biggest Common Factor Method
Now, list down the factors of 3899
:1,7,557,3899
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Greatest Common Factor
We found the factors 3899,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 3899,6125 is 7.
Lets's calculate LCM of 897,7726
Given numbers has no common factors except 1. So, there LCM is their product i.e 6930222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6930222
Therefore, the GCF of Fractions 3899/897,6125/7726 is 7/6930222
Least Common Multiple of 897,7726 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 897,7726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,7726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,7726) x common factors =1 x 1 = 1
LCM(897,7726) = ( 897 × 7726 ) / 1
LCM(897,7726) = 6930222 / 1
LCM(897,7726) = 6930222
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FAQs on GCF of Fractions of 3899/897, 6125/7726
1. What is the HCF of 3899,6125?
The HCF of 3899,6125 is 7
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 3899/897, 6125/7726?
Answer: GCF of Numerators as per given numbers 3899/897, 6125/7726 is
GCF of Numerators i.e. for 3899,6125 is 7
LCM of denominators i.e. for 897,7726 is 6930222.
Thus, GCF of Fractions is 7/6930222.Finally, GCF of Fractions for 3899/897, 6125/7726 is 7/6930222.