GCF of 6207/774, 3721/6370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6207/774, 3721/6370 i.e 1/2465190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6207/774, 3721/6370.
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 6207/774,3721/6370?
Given fractions are 6207/774,3721/6370
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 6207/774,3721/6370, numerators are 6207,3721
Denominators are 774,6370
The GCF of 6207,3721 is 1 .
LCM of 774,6370 is 2465190.
The greatest common factor of 6207/774,3721/6370 = [GCF of 6207,3721]/[LCM of 774,6370]= 1/2465190
Therefore, the GCF of 6207/774,3721/6370 is 1/2465190.
To find the highest common factor of 6207,3721, we have to find the factors of both numbers and list the highest common factor.
The factors of 6207 are 1, 3, 2069, 6207
The factors of 3721 are 1, 61, 3721
The HCF of 6207,3721 is 1.
Lets's calculate GCF of 6207,3721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6207,3721 By Matching Biggest Common Factor Method
Now, list down the factors of 6207
:1,3,2069,6207
Now, list down the factors of 3721
:1,61,3721
Greatest Common Factor
We found the factors 6207,3721 . The biggest common factor number is the GCF number.
So the greatest common factor 6207,3721 is 1.
Lets's calculate LCM of 774,6370
| 2 | 774, 6370 |
| 387, 3185 |
∴ So the LCM of the given numbers is 2 x 387 x 3185 = 2465190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2465190
Therefore, the GCF of Fractions 6207/774,3721/6370 is 1/2465190
Least Common Multiple of 774,6370 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 774,6370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,6370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,6370) x common factors =2 x 1 = 2
LCM(774,6370) = ( 774 × 6370 ) / 2
LCM(774,6370) = 4930380 / 2
LCM(774,6370) = 2465190
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FAQs on GCF of Fractions of 6207/774, 3721/6370
1. What is the HCF of 6207,3721?
The HCF of 6207,3721 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 6207/774, 3721/6370?
Answer: GCF of Numerators as per given numbers 6207/774, 3721/6370 is
GCF of Numerators i.e. for 6207,3721 is 1
LCM of denominators i.e. for 774,6370 is 2465190.
Thus, GCF of Fractions is 1/2465190.Finally, GCF of Fractions for 6207/774, 3721/6370 is 1/2465190.