GCF of 780/149, 821/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 780/149, 821/687 i.e 1/102363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 780/149, 821/687.
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 780/149,821/687?
Given fractions are 780/149,821/687
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 780/149,821/687, numerators are 780,821
Denominators are 149,687
The GCF of 780,821 is 1 .
LCM of 149,687 is 102363.
The greatest common factor of 780/149,821/687 = [GCF of 780,821]/[LCM of 149,687]= 1/102363
Therefore, the GCF of 780/149,821/687 is 1/102363.
To find the highest common factor of 780,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The factors of 821 are 1, 821
The HCF of 780,821 is 1.
Lets's calculate GCF of 780,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 780,821 By Matching Biggest Common Factor Method
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 780,821 . The biggest common factor number is the GCF number.
So the greatest common factor 780,821 is 1.
Lets's calculate LCM of 149,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 102363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102363
Therefore, the GCF of Fractions 780/149,821/687 is 1/102363
Least Common Multiple of 149,687 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 149,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,687) x common factors =1 x 1 = 1
LCM(149,687) = ( 149 × 687 ) / 1
LCM(149,687) = 102363 / 1
LCM(149,687) = 102363
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FAQs on GCF of Fractions of 780/149, 821/687
1. What is the HCF of 780,821?
The HCF of 780,821 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 780/149, 821/687?
Answer: GCF of Numerators as per given numbers 780/149, 821/687 is
GCF of Numerators i.e. for 780,821 is 1
LCM of denominators i.e. for 149,687 is 102363.
Thus, GCF of Fractions is 1/102363.Finally, GCF of Fractions for 780/149, 821/687 is 1/102363.