GCF of 6475/927, 2775/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6475/927, 2775/669 i.e 925/206721 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6475/927, 2775/669.
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 6475/927,2775/669?
Given fractions are 6475/927,2775/669
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 6475/927,2775/669, numerators are 6475,2775
Denominators are 927,669
The GCF of 6475,2775 is 925 .
LCM of 927,669 is 206721.
The greatest common factor of 6475/927,2775/669 = [GCF of 6475,2775]/[LCM of 927,669]= 925/206721
Therefore, the GCF of 6475/927,2775/669 is 925/206721.
To find the highest common factor of 6475,2775, we have to find the factors of both numbers and list the highest common factor.
The factors of 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475
The factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775
The HCF of 6475,2775 is 925.
Lets's calculate GCF of 6475,2775
| 5 | 6475, 2775 |
| 5 | 1295, 555 |
| 37 | 259, 111 |
| 7, 3 |
∴ So the GCF of the given numbers is 5 x 5 x 37 = 925
Greatest Common Factor of 6475,2775 By Matching Biggest Common Factor Method
Now, list down the factors of 6475
:1,5,7,25,35,37,175,185,259,925,1295,6475
Now, list down the factors of 2775
:1,3,5,15,25,37,75,111,185,555,925,2775
Greatest Common Factor
We found the factors 6475,2775 . The biggest common factor number is the GCF number.
So the greatest common factor 6475,2775 is 925.
Lets's calculate LCM of 927,669
| 3 | 927, 669 |
| 309, 223 |
∴ So the LCM of the given numbers is 3 x 309 x 223 = 206721
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 925/206721
Therefore, the GCF of Fractions 6475/927,2775/669 is 925/206721
Least Common Multiple of 927,669 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 927,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,669) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,669) x common factors =3 x 1 = 3
LCM(927,669) = ( 927 × 669 ) / 3
LCM(927,669) = 620163 / 3
LCM(927,669) = 206721
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FAQs on GCF of Fractions of 6475/927, 2775/669
1. What is the HCF of 6475,2775?
The HCF of 6475,2775 is 925
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 6475/927, 2775/669?
Answer: GCF of Numerators as per given numbers 6475/927, 2775/669 is
GCF of Numerators i.e. for 6475,2775 is 925
LCM of denominators i.e. for 927,669 is 206721.
Thus, GCF of Fractions is 925/206721.Finally, GCF of Fractions for 6475/927, 2775/669 is 925/206721.