GCF of 7687/560, 1482/5542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7687/560, 1482/5542 i.e 1/1551760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7687/560, 1482/5542.
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 7687/560,1482/5542?
Given fractions are 7687/560,1482/5542
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 7687/560,1482/5542, numerators are 7687,1482
Denominators are 560,5542
The GCF of 7687,1482 is 1 .
LCM of 560,5542 is 1551760.
The greatest common factor of 7687/560,1482/5542 = [GCF of 7687,1482]/[LCM of 560,5542]= 1/1551760
Therefore, the GCF of 7687/560,1482/5542 is 1/1551760.
To find the highest common factor of 7687,1482, we have to find the factors of both numbers and list the highest common factor.
The factors of 7687 are 1, 7687
The factors of 1482 are 1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741, 1482
The HCF of 7687,1482 is 1.
Lets's calculate GCF of 7687,1482
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7687,1482 By Matching Biggest Common Factor Method
Now, list down the factors of 7687
:1,7687
Now, list down the factors of 1482
:1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482
Greatest Common Factor
We found the factors 7687,1482 . The biggest common factor number is the GCF number.
So the greatest common factor 7687,1482 is 1.
Lets's calculate LCM of 560,5542
| 2 | 560, 5542 |
| 280, 2771 |
∴ So the LCM of the given numbers is 2 x 280 x 2771 = 1551760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1551760
Therefore, the GCF of Fractions 7687/560,1482/5542 is 1/1551760
Least Common Multiple of 560,5542 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 560,5542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,5542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(560,5542) x common factors =2 x 1 = 2
LCM(560,5542) = ( 560 × 5542 ) / 2
LCM(560,5542) = 3103520 / 2
LCM(560,5542) = 1551760
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FAQs on GCF of Fractions of 7687/560, 1482/5542
1. What is the HCF of 7687,1482?
The HCF of 7687,1482 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 7687/560, 1482/5542?
Answer: GCF of Numerators as per given numbers 7687/560, 1482/5542 is
GCF of Numerators i.e. for 7687,1482 is 1
LCM of denominators i.e. for 560,5542 is 1551760.
Thus, GCF of Fractions is 1/1551760.Finally, GCF of Fractions for 7687/560, 1482/5542 is 1/1551760.