GCF of 1522/770, 5493/7406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1522/770, 5493/7406 i.e 1/407330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1522/770, 5493/7406.
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 1522/770,5493/7406?
Given fractions are 1522/770,5493/7406
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 1522/770,5493/7406, numerators are 1522,5493
Denominators are 770,7406
The GCF of 1522,5493 is 1 .
LCM of 770,7406 is 407330.
The greatest common factor of 1522/770,5493/7406 = [GCF of 1522,5493]/[LCM of 770,7406]= 1/407330
Therefore, the GCF of 1522/770,5493/7406 is 1/407330.
To find the highest common factor of 1522,5493, we have to find the factors of both numbers and list the highest common factor.
The factors of 1522 are 1, 2, 761, 1522
The factors of 5493 are 1, 3, 1831, 5493
The HCF of 1522,5493 is 1.
Lets's calculate GCF of 1522,5493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1522,5493 By Matching Biggest Common Factor Method
Now, list down the factors of 1522
:1,2,761,1522
Now, list down the factors of 5493
:1,3,1831,5493
Greatest Common Factor
We found the factors 1522,5493 . The biggest common factor number is the GCF number.
So the greatest common factor 1522,5493 is 1.
Lets's calculate LCM of 770,7406
| 2 | 770, 7406 |
| 7 | 385, 3703 |
| 55, 529 |
∴ So the LCM of the given numbers is 2 x 7 x 55 x 529 = 407330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407330
Therefore, the GCF of Fractions 1522/770,5493/7406 is 1/407330
Least Common Multiple of 770,7406 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 770,7406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,7406) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(770,7406) x common factors =14 x 1 = 14
LCM(770,7406) = ( 770 × 7406 ) / 14
LCM(770,7406) = 5702620 / 14
LCM(770,7406) = 407330
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FAQs on GCF of Fractions of 1522/770, 5493/7406
1. What is the HCF of 1522,5493?
The HCF of 1522,5493 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 1522/770, 5493/7406?
Answer: GCF of Numerators as per given numbers 1522/770, 5493/7406 is
GCF of Numerators i.e. for 1522,5493 is 1
LCM of denominators i.e. for 770,7406 is 407330.
Thus, GCF of Fractions is 1/407330.Finally, GCF of Fractions for 1522/770, 5493/7406 is 1/407330.