GCF of 4260/972, 8378/7765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4260/972, 8378/7765 i.e 142/7547580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4260/972, 8378/7765.
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 4260/972,8378/7765?
Given fractions are 4260/972,8378/7765
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 4260/972,8378/7765, numerators are 4260,8378
Denominators are 972,7765
The GCF of 4260,8378 is 142 .
LCM of 972,7765 is 7547580.
The greatest common factor of 4260/972,8378/7765 = [GCF of 4260,8378]/[LCM of 972,7765]= 142/7547580
Therefore, the GCF of 4260/972,8378/7765 is 142/7547580.
To find the highest common factor of 4260,8378, we have to find the factors of both numbers and list the highest common factor.
The factors of 4260 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260
The factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378
The HCF of 4260,8378 is 142.
Lets's calculate GCF of 4260,8378
| 2 | 4260, 8378 |
| 71 | 2130, 4189 |
| 30, 59 |
∴ So the GCF of the given numbers is 2 x 71 = 142
Greatest Common Factor of 4260,8378 By Matching Biggest Common Factor Method
Now, list down the factors of 4260
:1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260
Now, list down the factors of 8378
:1,2,59,71,118,142,4189,8378
Greatest Common Factor
We found the factors 4260,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 4260,8378 is 142.
Lets's calculate LCM of 972,7765
Given numbers has no common factors except 1. So, there LCM is their product i.e 7547580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 142/7547580
Therefore, the GCF of Fractions 4260/972,8378/7765 is 142/7547580
Least Common Multiple of 972,7765 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 972,7765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,7765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,7765) x common factors =1 x 1 = 1
LCM(972,7765) = ( 972 × 7765 ) / 1
LCM(972,7765) = 7547580 / 1
LCM(972,7765) = 7547580
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FAQs on GCF of Fractions of 4260/972, 8378/7765
1. What is the HCF of 4260,8378?
The HCF of 4260,8378 is 142
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 4260/972, 8378/7765?
Answer: GCF of Numerators as per given numbers 4260/972, 8378/7765 is
GCF of Numerators i.e. for 4260,8378 is 142
LCM of denominators i.e. for 972,7765 is 7547580.
Thus, GCF of Fractions is 142/7547580.Finally, GCF of Fractions for 4260/972, 8378/7765 is 142/7547580.