GCF of 2775/696, 3438/177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2775/696, 3438/177 i.e 3/41064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2775/696, 3438/177.
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 2775/696,3438/177?
Given fractions are 2775/696,3438/177
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 2775/696,3438/177, numerators are 2775,3438
Denominators are 696,177
The GCF of 2775,3438 is 3 .
LCM of 696,177 is 41064.
The greatest common factor of 2775/696,3438/177 = [GCF of 2775,3438]/[LCM of 696,177]= 3/41064
Therefore, the GCF of 2775/696,3438/177 is 3/41064.
To find the highest common factor of 2775,3438, we have to find the factors of both numbers and list the highest common factor.
The factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775
The factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The HCF of 2775,3438 is 3.
Lets's calculate GCF of 2775,3438
| 3 | 2775, 3438 |
| 925, 1146 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2775,3438 By Matching Biggest Common Factor Method
Now, list down the factors of 2775
:1,3,5,15,25,37,75,111,185,555,925,2775
Now, list down the factors of 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 2775,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 2775,3438 is 3.
Lets's calculate LCM of 696,177
| 3 | 696, 177 |
| 232, 59 |
∴ So the LCM of the given numbers is 3 x 232 x 59 = 41064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41064
Therefore, the GCF of Fractions 2775/696,3438/177 is 3/41064
Least Common Multiple of 696,177 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 696,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,177) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(696,177) x common factors =3 x 1 = 3
LCM(696,177) = ( 696 × 177 ) / 3
LCM(696,177) = 123192 / 3
LCM(696,177) = 41064
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FAQs on GCF of Fractions of 2775/696, 3438/177
1. What is the HCF of 2775,3438?
The HCF of 2775,3438 is 3
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 2775/696, 3438/177?
Answer: GCF of Numerators as per given numbers 2775/696, 3438/177 is
GCF of Numerators i.e. for 2775,3438 is 3
LCM of denominators i.e. for 696,177 is 41064.
Thus, GCF of Fractions is 3/41064.Finally, GCF of Fractions for 2775/696, 3438/177 is 3/41064.