GCF of 3717/560, 3507/7038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3717/560, 3507/7038 i.e 21/1970640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3717/560, 3507/7038.
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 3717/560,3507/7038?
Given fractions are 3717/560,3507/7038
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 3717/560,3507/7038, numerators are 3717,3507
Denominators are 560,7038
The GCF of 3717,3507 is 21 .
LCM of 560,7038 is 1970640.
The greatest common factor of 3717/560,3507/7038 = [GCF of 3717,3507]/[LCM of 560,7038]= 21/1970640
Therefore, the GCF of 3717/560,3507/7038 is 21/1970640.
To find the highest common factor of 3717,3507, we have to find the factors of both numbers and list the highest common factor.
The factors of 3717 are 1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717
The factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507
The HCF of 3717,3507 is 21.
Lets's calculate GCF of 3717,3507
| 3 | 3717, 3507 |
| 7 | 1239, 1169 |
| 177, 167 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 3717,3507 By Matching Biggest Common Factor Method
Now, list down the factors of 3717
:1,3,7,9,21,59,63,177,413,531,1239,3717
Now, list down the factors of 3507
:1,3,7,21,167,501,1169,3507
Greatest Common Factor
We found the factors 3717,3507 . The biggest common factor number is the GCF number.
So the greatest common factor 3717,3507 is 21.
Lets's calculate LCM of 560,7038
| 2 | 560, 7038 |
| 280, 3519 |
∴ So the LCM of the given numbers is 2 x 280 x 3519 = 1970640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1970640
Therefore, the GCF of Fractions 3717/560,3507/7038 is 21/1970640
Least Common Multiple of 560,7038 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 560,7038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,7038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(560,7038) x common factors =2 x 1 = 2
LCM(560,7038) = ( 560 × 7038 ) / 2
LCM(560,7038) = 3941280 / 2
LCM(560,7038) = 1970640
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FAQs on GCF of Fractions of 3717/560, 3507/7038
1. What is the HCF of 3717,3507?
The HCF of 3717,3507 is 21
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 3717/560, 3507/7038?
Answer: GCF of Numerators as per given numbers 3717/560, 3507/7038 is
GCF of Numerators i.e. for 3717,3507 is 21
LCM of denominators i.e. for 560,7038 is 1970640.
Thus, GCF of Fractions is 21/1970640.Finally, GCF of Fractions for 3717/560, 3507/7038 is 21/1970640.