GCF of 5522/638, 7730/7337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5522/638, 7730/7337 i.e 2/14674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5522/638, 7730/7337.
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 5522/638,7730/7337?
Given fractions are 5522/638,7730/7337
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 5522/638,7730/7337, numerators are 5522,7730
Denominators are 638,7337
The GCF of 5522,7730 is 2 .
LCM of 638,7337 is 14674.
The greatest common factor of 5522/638,7730/7337 = [GCF of 5522,7730]/[LCM of 638,7337]= 2/14674
Therefore, the GCF of 5522/638,7730/7337 is 2/14674.
To find the highest common factor of 5522,7730, we have to find the factors of both numbers and list the highest common factor.
The factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The HCF of 5522,7730 is 2.
Lets's calculate GCF of 5522,7730
| 2 | 5522, 7730 |
| 2761, 3865 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5522,7730 By Matching Biggest Common Factor Method
Now, list down the factors of 5522
:1,2,11,22,251,502,2761,5522
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Greatest Common Factor
We found the factors 5522,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 5522,7730 is 2.
Lets's calculate LCM of 638,7337
| 11 | 638, 7337 |
| 29 | 58, 667 |
| 2, 23 |
∴ So the LCM of the given numbers is 11 x 29 x 2 x 23 = 14674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14674
Therefore, the GCF of Fractions 5522/638,7730/7337 is 2/14674
Least Common Multiple of 638,7337 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 638,7337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,7337) = 319
common factors(in case of two or more numbers have common factors) = 1
GCF(638,7337) x common factors =319 x 1 = 319
LCM(638,7337) = ( 638 × 7337 ) / 319
LCM(638,7337) = 4681006 / 319
LCM(638,7337) = 14674
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FAQs on GCF of Fractions of 5522/638, 7730/7337
1. What is the HCF of 5522,7730?
The HCF of 5522,7730 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 5522/638, 7730/7337?
Answer: GCF of Numerators as per given numbers 5522/638, 7730/7337 is
GCF of Numerators i.e. for 5522,7730 is 2
LCM of denominators i.e. for 638,7337 is 14674.
Thus, GCF of Fractions is 2/14674.Finally, GCF of Fractions for 5522/638, 7730/7337 is 2/14674.