GCF of 1153/714, 3260/8042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1153/714, 3260/8042 i.e 1/2870994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1153/714, 3260/8042.
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 1153/714,3260/8042?
Given fractions are 1153/714,3260/8042
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 1153/714,3260/8042, numerators are 1153,3260
Denominators are 714,8042
The GCF of 1153,3260 is 1 .
LCM of 714,8042 is 2870994.
The greatest common factor of 1153/714,3260/8042 = [GCF of 1153,3260]/[LCM of 714,8042]= 1/2870994
Therefore, the GCF of 1153/714,3260/8042 is 1/2870994.
To find the highest common factor of 1153,3260, we have to find the factors of both numbers and list the highest common factor.
The factors of 1153 are 1, 1153
The factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260
The HCF of 1153,3260 is 1.
Lets's calculate GCF of 1153,3260
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1153,3260 By Matching Biggest Common Factor Method
Now, list down the factors of 1153
:1,1153
Now, list down the factors of 3260
:1,2,4,5,10,20,163,326,652,815,1630,3260
Greatest Common Factor
We found the factors 1153,3260 . The biggest common factor number is the GCF number.
So the greatest common factor 1153,3260 is 1.
Lets's calculate LCM of 714,8042
| 2 | 714, 8042 |
| 357, 4021 |
∴ So the LCM of the given numbers is 2 x 357 x 4021 = 2870994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2870994
Therefore, the GCF of Fractions 1153/714,3260/8042 is 1/2870994
Least Common Multiple of 714,8042 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 714,8042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,8042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,8042) x common factors =2 x 1 = 2
LCM(714,8042) = ( 714 × 8042 ) / 2
LCM(714,8042) = 5741988 / 2
LCM(714,8042) = 2870994
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FAQs on GCF of Fractions of 1153/714, 3260/8042
1. What is the HCF of 1153,3260?
The HCF of 1153,3260 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 1153/714, 3260/8042?
Answer: GCF of Numerators as per given numbers 1153/714, 3260/8042 is
GCF of Numerators i.e. for 1153,3260 is 1
LCM of denominators i.e. for 714,8042 is 2870994.
Thus, GCF of Fractions is 1/2870994.Finally, GCF of Fractions for 1153/714, 3260/8042 is 1/2870994.