GCF of 6820/355, 1499/3553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6820/355, 1499/3553 i.e 1/1261315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6820/355, 1499/3553.
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 6820/355,1499/3553?
Given fractions are 6820/355,1499/3553
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 6820/355,1499/3553, numerators are 6820,1499
Denominators are 355,3553
The GCF of 6820,1499 is 1 .
LCM of 355,3553 is 1261315.
The greatest common factor of 6820/355,1499/3553 = [GCF of 6820,1499]/[LCM of 355,3553]= 1/1261315
Therefore, the GCF of 6820/355,1499/3553 is 1/1261315.
To find the highest common factor of 6820,1499, we have to find the factors of both numbers and list the highest common factor.
The factors of 6820 are 1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 124, 155, 220, 310, 341, 620, 682, 1364, 1705, 3410, 6820
The factors of 1499 are 1, 1499
The HCF of 6820,1499 is 1.
Lets's calculate GCF of 6820,1499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6820,1499 By Matching Biggest Common Factor Method
Now, list down the factors of 6820
:1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820
Now, list down the factors of 1499
:1,1499
Greatest Common Factor
We found the factors 6820,1499 . The biggest common factor number is the GCF number.
So the greatest common factor 6820,1499 is 1.
Lets's calculate LCM of 355,3553
Given numbers has no common factors except 1. So, there LCM is their product i.e 1261315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1261315
Therefore, the GCF of Fractions 6820/355,1499/3553 is 1/1261315
Least Common Multiple of 355,3553 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 355,3553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,3553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,3553) x common factors =1 x 1 = 1
LCM(355,3553) = ( 355 × 3553 ) / 1
LCM(355,3553) = 1261315 / 1
LCM(355,3553) = 1261315
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FAQs on GCF of Fractions of 6820/355, 1499/3553
1. What is the HCF of 6820,1499?
The HCF of 6820,1499 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 6820/355, 1499/3553?
Answer: GCF of Numerators as per given numbers 6820/355, 1499/3553 is
GCF of Numerators i.e. for 6820,1499 is 1
LCM of denominators i.e. for 355,3553 is 1261315.
Thus, GCF of Fractions is 1/1261315.Finally, GCF of Fractions for 6820/355, 1499/3553 is 1/1261315.