GCF of 1020/701, 9459/3553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1020/701, 9459/3553 i.e 3/2490653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1020/701, 9459/3553.
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 1020/701,9459/3553?
Given fractions are 1020/701,9459/3553
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 1020/701,9459/3553, numerators are 1020,9459
Denominators are 701,3553
The GCF of 1020,9459 is 3 .
LCM of 701,3553 is 2490653.
The greatest common factor of 1020/701,9459/3553 = [GCF of 1020,9459]/[LCM of 701,3553]= 3/2490653
Therefore, the GCF of 1020/701,9459/3553 is 3/2490653.
To find the highest common factor of 1020,9459, we have to find the factors of both numbers and list the highest common factor.
The factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020
The factors of 9459 are 1, 3, 9, 1051, 3153, 9459
The HCF of 1020,9459 is 3.
Lets's calculate GCF of 1020,9459
| 3 | 1020, 9459 |
| 340, 3153 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1020,9459 By Matching Biggest Common Factor Method
Now, list down the factors of 1020
:1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020
Now, list down the factors of 9459
:1,3,9,1051,3153,9459
Greatest Common Factor
We found the factors 1020,9459 . The biggest common factor number is the GCF number.
So the greatest common factor 1020,9459 is 3.
Lets's calculate LCM of 701,3553
Given numbers has no common factors except 1. So, there LCM is their product i.e 2490653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2490653
Therefore, the GCF of Fractions 1020/701,9459/3553 is 3/2490653
Least Common Multiple of 701,3553 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 701,3553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,3553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,3553) x common factors =1 x 1 = 1
LCM(701,3553) = ( 701 × 3553 ) / 1
LCM(701,3553) = 2490653 / 1
LCM(701,3553) = 2490653
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FAQs on GCF of Fractions of 1020/701, 9459/3553
1. What is the HCF of 1020,9459?
The HCF of 1020,9459 is 3
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 1020/701, 9459/3553?
Answer: GCF of Numerators as per given numbers 1020/701, 9459/3553 is
GCF of Numerators i.e. for 1020,9459 is 3
LCM of denominators i.e. for 701,3553 is 2490653.
Thus, GCF of Fractions is 3/2490653.Finally, GCF of Fractions for 1020/701, 9459/3553 is 3/2490653.