GCF of 5551/942, 6625/5781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5551/942, 6625/5781 i.e 1/1815234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5551/942, 6625/5781.
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 5551/942,6625/5781?
Given fractions are 5551/942,6625/5781
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 5551/942,6625/5781, numerators are 5551,6625
Denominators are 942,5781
The GCF of 5551,6625 is 1 .
LCM of 942,5781 is 1815234.
The greatest common factor of 5551/942,6625/5781 = [GCF of 5551,6625]/[LCM of 942,5781]= 1/1815234
Therefore, the GCF of 5551/942,6625/5781 is 1/1815234.
To find the highest common factor of 5551,6625, we have to find the factors of both numbers and list the highest common factor.
The factors of 5551 are 1, 7, 13, 61, 91, 427, 793, 5551
The factors of 6625 are 1, 5, 25, 53, 125, 265, 1325, 6625
The HCF of 5551,6625 is 1.
Lets's calculate GCF of 5551,6625
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5551,6625 By Matching Biggest Common Factor Method
Now, list down the factors of 5551
:1,7,13,61,91,427,793,5551
Now, list down the factors of 6625
:1,5,25,53,125,265,1325,6625
Greatest Common Factor
We found the factors 5551,6625 . The biggest common factor number is the GCF number.
So the greatest common factor 5551,6625 is 1.
Lets's calculate LCM of 942,5781
| 3 | 942, 5781 |
| 314, 1927 |
∴ So the LCM of the given numbers is 3 x 314 x 1927 = 1815234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1815234
Therefore, the GCF of Fractions 5551/942,6625/5781 is 1/1815234
Least Common Multiple of 942,5781 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 942,5781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,5781) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(942,5781) x common factors =3 x 1 = 3
LCM(942,5781) = ( 942 × 5781 ) / 3
LCM(942,5781) = 5445702 / 3
LCM(942,5781) = 1815234
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FAQs on GCF of Fractions of 5551/942, 6625/5781
1. What is the HCF of 5551,6625?
The HCF of 5551,6625 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 5551/942, 6625/5781?
Answer: GCF of Numerators as per given numbers 5551/942, 6625/5781 is
GCF of Numerators i.e. for 5551,6625 is 1
LCM of denominators i.e. for 942,5781 is 1815234.
Thus, GCF of Fractions is 1/1815234.Finally, GCF of Fractions for 5551/942, 6625/5781 is 1/1815234.