GCF of 4262/851, 7080/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4262/851, 7080/160 i.e 2/136160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4262/851, 7080/160.
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 4262/851,7080/160?
Given fractions are 4262/851,7080/160
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 4262/851,7080/160, numerators are 4262,7080
Denominators are 851,160
The GCF of 4262,7080 is 2 .
LCM of 851,160 is 136160.
The greatest common factor of 4262/851,7080/160 = [GCF of 4262,7080]/[LCM of 851,160]= 2/136160
Therefore, the GCF of 4262/851,7080/160 is 2/136160.
To find the highest common factor of 4262,7080, we have to find the factors of both numbers and list the highest common factor.
The factors of 4262 are 1, 2, 2131, 4262
The factors of 7080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080
The HCF of 4262,7080 is 2.
Lets's calculate GCF of 4262,7080
| 2 | 4262, 7080 |
| 2131, 3540 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4262,7080 By Matching Biggest Common Factor Method
Now, list down the factors of 4262
:1,2,2131,4262
Now, list down the factors of 7080
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080
Greatest Common Factor
We found the factors 4262,7080 . The biggest common factor number is the GCF number.
So the greatest common factor 4262,7080 is 2.
Lets's calculate LCM of 851,160
Given numbers has no common factors except 1. So, there LCM is their product i.e 136160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136160
Therefore, the GCF of Fractions 4262/851,7080/160 is 2/136160
Least Common Multiple of 851,160 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 851,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,160) x common factors =1 x 1 = 1
LCM(851,160) = ( 851 × 160 ) / 1
LCM(851,160) = 136160 / 1
LCM(851,160) = 136160
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FAQs on GCF of Fractions of 4262/851, 7080/160
1. What is the HCF of 4262,7080?
The HCF of 4262,7080 is 2
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 4262/851, 7080/160?
Answer: GCF of Numerators as per given numbers 4262/851, 7080/160 is
GCF of Numerators i.e. for 4262,7080 is 2
LCM of denominators i.e. for 851,160 is 136160.
Thus, GCF of Fractions is 2/136160.Finally, GCF of Fractions for 4262/851, 7080/160 is 2/136160.