GCF of 5275/995, 7807/6442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5275/995, 7807/6442 i.e 211/6409790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5275/995, 7807/6442.
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 5275/995,7807/6442?
Given fractions are 5275/995,7807/6442
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 5275/995,7807/6442, numerators are 5275,7807
Denominators are 995,6442
The GCF of 5275,7807 is 211 .
LCM of 995,6442 is 6409790.
The greatest common factor of 5275/995,7807/6442 = [GCF of 5275,7807]/[LCM of 995,6442]= 211/6409790
Therefore, the GCF of 5275/995,7807/6442 is 211/6409790.
To find the highest common factor of 5275,7807, we have to find the factors of both numbers and list the highest common factor.
The factors of 5275 are 1, 5, 25, 211, 1055, 5275
The factors of 7807 are 1, 37, 211, 7807
The HCF of 5275,7807 is 211.
Lets's calculate GCF of 5275,7807
| 211 | 5275, 7807 |
| 25, 37 |
∴ So the GCF of the given numbers is 211 = 211
Greatest Common Factor of 5275,7807 By Matching Biggest Common Factor Method
Now, list down the factors of 5275
:1,5,25,211,1055,5275
Now, list down the factors of 7807
:1,37,211,7807
Greatest Common Factor
We found the factors 5275,7807 . The biggest common factor number is the GCF number.
So the greatest common factor 5275,7807 is 211.
Lets's calculate LCM of 995,6442
Given numbers has no common factors except 1. So, there LCM is their product i.e 6409790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 211/6409790
Therefore, the GCF of Fractions 5275/995,7807/6442 is 211/6409790
Least Common Multiple of 995,6442 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 995,6442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,6442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,6442) x common factors =1 x 1 = 1
LCM(995,6442) = ( 995 × 6442 ) / 1
LCM(995,6442) = 6409790 / 1
LCM(995,6442) = 6409790
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FAQs on GCF of Fractions of 5275/995, 7807/6442
1. What is the HCF of 5275,7807?
The HCF of 5275,7807 is 211
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 5275/995, 7807/6442?
Answer: GCF of Numerators as per given numbers 5275/995, 7807/6442 is
GCF of Numerators i.e. for 5275,7807 is 211
LCM of denominators i.e. for 995,6442 is 6409790.
Thus, GCF of Fractions is 211/6409790.Finally, GCF of Fractions for 5275/995, 7807/6442 is 211/6409790.