GCF of 637/668, 1780/622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/668, 1780/622 i.e 1/207748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/668, 1780/622.
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 637/668,1780/622?
Given fractions are 637/668,1780/622
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 637/668,1780/622, numerators are 637,1780
Denominators are 668,622
The GCF of 637,1780 is 1 .
LCM of 668,622 is 207748.
The greatest common factor of 637/668,1780/622 = [GCF of 637,1780]/[LCM of 668,622]= 1/207748
Therefore, the GCF of 637/668,1780/622 is 1/207748.
To find the highest common factor of 637,1780, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 1780 are 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890, 1780
The HCF of 637,1780 is 1.
Lets's calculate GCF of 637,1780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 637,1780 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 1780
:1,2,4,5,10,20,89,178,356,445,890,1780
Greatest Common Factor
We found the factors 637,1780 . The biggest common factor number is the GCF number.
So the greatest common factor 637,1780 is 1.
Lets's calculate LCM of 668,622
| 2 | 668, 622 |
| 334, 311 |
∴ So the LCM of the given numbers is 2 x 334 x 311 = 207748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207748
Therefore, the GCF of Fractions 637/668,1780/622 is 1/207748
Least Common Multiple of 668,622 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 668,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(668,622) x common factors =2 x 1 = 2
LCM(668,622) = ( 668 × 622 ) / 2
LCM(668,622) = 415496 / 2
LCM(668,622) = 207748
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FAQs on GCF of Fractions of 637/668, 1780/622
1. What is the HCF of 637,1780?
The HCF of 637,1780 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 637/668, 1780/622?
Answer: GCF of Numerators as per given numbers 637/668, 1780/622 is
GCF of Numerators i.e. for 637,1780 is 1
LCM of denominators i.e. for 668,622 is 207748.
Thus, GCF of Fractions is 1/207748.Finally, GCF of Fractions for 637/668, 1780/622 is 1/207748.