GCF of 1550/883, 3160/7534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1550/883, 3160/7534 i.e 10/6652522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1550/883, 3160/7534.
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 1550/883,3160/7534?
Given fractions are 1550/883,3160/7534
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 1550/883,3160/7534, numerators are 1550,3160
Denominators are 883,7534
The GCF of 1550,3160 is 10 .
LCM of 883,7534 is 6652522.
The greatest common factor of 1550/883,3160/7534 = [GCF of 1550,3160]/[LCM of 883,7534]= 10/6652522
Therefore, the GCF of 1550/883,3160/7534 is 10/6652522.
To find the highest common factor of 1550,3160, we have to find the factors of both numbers and list the highest common factor.
The factors of 1550 are 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550
The factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160
The HCF of 1550,3160 is 10.
Lets's calculate GCF of 1550,3160
| 2 | 1550, 3160 |
| 5 | 775, 1580 |
| 155, 316 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1550,3160 By Matching Biggest Common Factor Method
Now, list down the factors of 1550
:1,2,5,10,25,31,50,62,155,310,775,1550
Now, list down the factors of 3160
:1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Greatest Common Factor
We found the factors 1550,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 1550,3160 is 10.
Lets's calculate LCM of 883,7534
Given numbers has no common factors except 1. So, there LCM is their product i.e 6652522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6652522
Therefore, the GCF of Fractions 1550/883,3160/7534 is 10/6652522
Least Common Multiple of 883,7534 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 883,7534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,7534) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,7534) x common factors =1 x 1 = 1
LCM(883,7534) = ( 883 × 7534 ) / 1
LCM(883,7534) = 6652522 / 1
LCM(883,7534) = 6652522
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FAQs on GCF of Fractions of 1550/883, 3160/7534
1. What is the HCF of 1550,3160?
The HCF of 1550,3160 is 10
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 1550/883, 3160/7534?
Answer: GCF of Numerators as per given numbers 1550/883, 3160/7534 is
GCF of Numerators i.e. for 1550,3160 is 10
LCM of denominators i.e. for 883,7534 is 6652522.
Thus, GCF of Fractions is 10/6652522.Finally, GCF of Fractions for 1550/883, 3160/7534 is 10/6652522.