GCF of 4954/502, 1654/7776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4954/502, 1654/7776 i.e 2/1951776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4954/502, 1654/7776.
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 4954/502,1654/7776?
Given fractions are 4954/502,1654/7776
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 4954/502,1654/7776, numerators are 4954,1654
Denominators are 502,7776
The GCF of 4954,1654 is 2 .
LCM of 502,7776 is 1951776.
The greatest common factor of 4954/502,1654/7776 = [GCF of 4954,1654]/[LCM of 502,7776]= 2/1951776
Therefore, the GCF of 4954/502,1654/7776 is 2/1951776.
To find the highest common factor of 4954,1654, we have to find the factors of both numbers and list the highest common factor.
The factors of 4954 are 1, 2, 2477, 4954
The factors of 1654 are 1, 2, 827, 1654
The HCF of 4954,1654 is 2.
Lets's calculate GCF of 4954,1654
| 2 | 4954, 1654 |
| 2477, 827 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4954,1654 By Matching Biggest Common Factor Method
Now, list down the factors of 4954
:1,2,2477,4954
Now, list down the factors of 1654
:1,2,827,1654
Greatest Common Factor
We found the factors 4954,1654 . The biggest common factor number is the GCF number.
So the greatest common factor 4954,1654 is 2.
Lets's calculate LCM of 502,7776
| 2 | 502, 7776 |
| 251, 3888 |
∴ So the LCM of the given numbers is 2 x 251 x 3888 = 1951776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1951776
Therefore, the GCF of Fractions 4954/502,1654/7776 is 2/1951776
Least Common Multiple of 502,7776 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 502,7776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,7776) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,7776) x common factors =2 x 1 = 2
LCM(502,7776) = ( 502 × 7776 ) / 2
LCM(502,7776) = 3903552 / 2
LCM(502,7776) = 1951776
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FAQs on GCF of Fractions of 4954/502, 1654/7776
1. What is the HCF of 4954,1654?
The HCF of 4954,1654 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 4954/502, 1654/7776?
Answer: GCF of Numerators as per given numbers 4954/502, 1654/7776 is
GCF of Numerators i.e. for 4954,1654 is 2
LCM of denominators i.e. for 502,7776 is 1951776.
Thus, GCF of Fractions is 2/1951776.Finally, GCF of Fractions for 4954/502, 1654/7776 is 2/1951776.