GCF of 637/974, 8620/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/974, 8620/106 i.e 1/51622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/974, 8620/106.
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 637/974,8620/106?
Given fractions are 637/974,8620/106
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 637/974,8620/106, numerators are 637,8620
Denominators are 974,106
The GCF of 637,8620 is 1 .
LCM of 974,106 is 51622.
The greatest common factor of 637/974,8620/106 = [GCF of 637,8620]/[LCM of 974,106]= 1/51622
Therefore, the GCF of 637/974,8620/106 is 1/51622.
To find the highest common factor of 637,8620, 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 8620 are 1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620
The HCF of 637,8620 is 1.
Lets's calculate GCF of 637,8620
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 637,8620 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 8620
:1,2,4,5,10,20,431,862,1724,2155,4310,8620
Greatest Common Factor
We found the factors 637,8620 . The biggest common factor number is the GCF number.
So the greatest common factor 637,8620 is 1.
Lets's calculate LCM of 974,106
| 2 | 974, 106 |
| 487, 53 |
∴ So the LCM of the given numbers is 2 x 487 x 53 = 51622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51622
Therefore, the GCF of Fractions 637/974,8620/106 is 1/51622
Least Common Multiple of 974,106 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 974,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,106) x common factors =2 x 1 = 2
LCM(974,106) = ( 974 × 106 ) / 2
LCM(974,106) = 103244 / 2
LCM(974,106) = 51622
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FAQs on GCF of Fractions of 637/974, 8620/106
1. What is the HCF of 637,8620?
The HCF of 637,8620 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 637/974, 8620/106?
Answer: GCF of Numerators as per given numbers 637/974, 8620/106 is
GCF of Numerators i.e. for 637,8620 is 1
LCM of denominators i.e. for 974,106 is 51622.
Thus, GCF of Fractions is 1/51622.Finally, GCF of Fractions for 637/974, 8620/106 is 1/51622.