GCF of 1774/704, 4906/6151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1774/704, 4906/6151 i.e 2/4330304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1774/704, 4906/6151.
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 1774/704,4906/6151?
Given fractions are 1774/704,4906/6151
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 1774/704,4906/6151, numerators are 1774,4906
Denominators are 704,6151
The GCF of 1774,4906 is 2 .
LCM of 704,6151 is 4330304.
The greatest common factor of 1774/704,4906/6151 = [GCF of 1774,4906]/[LCM of 704,6151]= 2/4330304
Therefore, the GCF of 1774/704,4906/6151 is 2/4330304.
To find the highest common factor of 1774,4906, we have to find the factors of both numbers and list the highest common factor.
The factors of 1774 are 1, 2, 887, 1774
The factors of 4906 are 1, 2, 11, 22, 223, 446, 2453, 4906
The HCF of 1774,4906 is 2.
Lets's calculate GCF of 1774,4906
| 2 | 1774, 4906 |
| 887, 2453 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1774,4906 By Matching Biggest Common Factor Method
Now, list down the factors of 1774
:1,2,887,1774
Now, list down the factors of 4906
:1,2,11,22,223,446,2453,4906
Greatest Common Factor
We found the factors 1774,4906 . The biggest common factor number is the GCF number.
So the greatest common factor 1774,4906 is 2.
Lets's calculate LCM of 704,6151
Given numbers has no common factors except 1. So, there LCM is their product i.e 4330304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4330304
Therefore, the GCF of Fractions 1774/704,4906/6151 is 2/4330304
Least Common Multiple of 704,6151 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 704,6151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,6151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,6151) x common factors =1 x 1 = 1
LCM(704,6151) = ( 704 × 6151 ) / 1
LCM(704,6151) = 4330304 / 1
LCM(704,6151) = 4330304
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FAQs on GCF of Fractions of 1774/704, 4906/6151
1. What is the HCF of 1774,4906?
The HCF of 1774,4906 is 2
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 1774/704, 4906/6151?
Answer: GCF of Numerators as per given numbers 1774/704, 4906/6151 is
GCF of Numerators i.e. for 1774,4906 is 2
LCM of denominators i.e. for 704,6151 is 4330304.
Thus, GCF of Fractions is 2/4330304.Finally, GCF of Fractions for 1774/704, 4906/6151 is 2/4330304.