GCF of 5506/558, 3102/7611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5506/558, 3102/7611 i.e 2/1415646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5506/558, 3102/7611.
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 5506/558,3102/7611?
Given fractions are 5506/558,3102/7611
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 5506/558,3102/7611, numerators are 5506,3102
Denominators are 558,7611
The GCF of 5506,3102 is 2 .
LCM of 558,7611 is 1415646.
The greatest common factor of 5506/558,3102/7611 = [GCF of 5506,3102]/[LCM of 558,7611]= 2/1415646
Therefore, the GCF of 5506/558,3102/7611 is 2/1415646.
To find the highest common factor of 5506,3102, we have to find the factors of both numbers and list the highest common factor.
The factors of 5506 are 1, 2, 2753, 5506
The factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102
The HCF of 5506,3102 is 2.
Lets's calculate GCF of 5506,3102
| 2 | 5506, 3102 |
| 2753, 1551 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5506,3102 By Matching Biggest Common Factor Method
Now, list down the factors of 5506
:1,2,2753,5506
Now, list down the factors of 3102
:1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102
Greatest Common Factor
We found the factors 5506,3102 . The biggest common factor number is the GCF number.
So the greatest common factor 5506,3102 is 2.
Lets's calculate LCM of 558,7611
| 3 | 558, 7611 |
| 186, 2537 |
∴ So the LCM of the given numbers is 3 x 186 x 2537 = 1415646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1415646
Therefore, the GCF of Fractions 5506/558,3102/7611 is 2/1415646
Least Common Multiple of 558,7611 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 558,7611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,7611) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(558,7611) x common factors =3 x 1 = 3
LCM(558,7611) = ( 558 × 7611 ) / 3
LCM(558,7611) = 4246938 / 3
LCM(558,7611) = 1415646
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FAQs on GCF of Fractions of 5506/558, 3102/7611
1. What is the HCF of 5506,3102?
The HCF of 5506,3102 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 5506/558, 3102/7611?
Answer: GCF of Numerators as per given numbers 5506/558, 3102/7611 is
GCF of Numerators i.e. for 5506,3102 is 2
LCM of denominators i.e. for 558,7611 is 1415646.
Thus, GCF of Fractions is 2/1415646.Finally, GCF of Fractions for 5506/558, 3102/7611 is 2/1415646.