GCF of 1492/670, 9113/5635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1492/670, 9113/5635 i.e 1/755090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1492/670, 9113/5635.
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 1492/670,9113/5635?
Given fractions are 1492/670,9113/5635
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 1492/670,9113/5635, numerators are 1492,9113
Denominators are 670,5635
The GCF of 1492,9113 is 1 .
LCM of 670,5635 is 755090.
The greatest common factor of 1492/670,9113/5635 = [GCF of 1492,9113]/[LCM of 670,5635]= 1/755090
Therefore, the GCF of 1492/670,9113/5635 is 1/755090.
To find the highest common factor of 1492,9113, we have to find the factors of both numbers and list the highest common factor.
The factors of 1492 are 1, 2, 4, 373, 746, 1492
The factors of 9113 are 1, 13, 701, 9113
The HCF of 1492,9113 is 1.
Lets's calculate GCF of 1492,9113
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1492,9113 By Matching Biggest Common Factor Method
Now, list down the factors of 1492
:1,2,4,373,746,1492
Now, list down the factors of 9113
:1,13,701,9113
Greatest Common Factor
We found the factors 1492,9113 . The biggest common factor number is the GCF number.
So the greatest common factor 1492,9113 is 1.
Lets's calculate LCM of 670,5635
| 5 | 670, 5635 |
| 134, 1127 |
∴ So the LCM of the given numbers is 5 x 134 x 1127 = 755090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/755090
Therefore, the GCF of Fractions 1492/670,9113/5635 is 1/755090
Least Common Multiple of 670,5635 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 670,5635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,5635) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(670,5635) x common factors =5 x 1 = 5
LCM(670,5635) = ( 670 × 5635 ) / 5
LCM(670,5635) = 3775450 / 5
LCM(670,5635) = 755090
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FAQs on GCF of Fractions of 1492/670, 9113/5635
1. What is the HCF of 1492,9113?
The HCF of 1492,9113 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 1492/670, 9113/5635?
Answer: GCF of Numerators as per given numbers 1492/670, 9113/5635 is
GCF of Numerators i.e. for 1492,9113 is 1
LCM of denominators i.e. for 670,5635 is 755090.
Thus, GCF of Fractions is 1/755090.Finally, GCF of Fractions for 1492/670, 9113/5635 is 1/755090.