GCF of 1750/748, 6280/8895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1750/748, 6280/8895 i.e 10/6653460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1750/748, 6280/8895.
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 1750/748,6280/8895?
Given fractions are 1750/748,6280/8895
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 1750/748,6280/8895, numerators are 1750,6280
Denominators are 748,8895
The GCF of 1750,6280 is 10 .
LCM of 748,8895 is 6653460.
The greatest common factor of 1750/748,6280/8895 = [GCF of 1750,6280]/[LCM of 748,8895]= 10/6653460
Therefore, the GCF of 1750/748,6280/8895 is 10/6653460.
To find the highest common factor of 1750,6280, we have to find the factors of both numbers and list the highest common factor.
The factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750
The factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280
The HCF of 1750,6280 is 10.
Lets's calculate GCF of 1750,6280
| 2 | 1750, 6280 |
| 5 | 875, 3140 |
| 175, 628 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1750,6280 By Matching Biggest Common Factor Method
Now, list down the factors of 1750
:1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750
Now, list down the factors of 6280
:1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280
Greatest Common Factor
We found the factors 1750,6280 . The biggest common factor number is the GCF number.
So the greatest common factor 1750,6280 is 10.
Lets's calculate LCM of 748,8895
Given numbers has no common factors except 1. So, there LCM is their product i.e 6653460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6653460
Therefore, the GCF of Fractions 1750/748,6280/8895 is 10/6653460
Least Common Multiple of 748,8895 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 748,8895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,8895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,8895) x common factors =1 x 1 = 1
LCM(748,8895) = ( 748 × 8895 ) / 1
LCM(748,8895) = 6653460 / 1
LCM(748,8895) = 6653460
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1750/748, 6280/8895
1. What is the HCF of 1750,6280?
The HCF of 1750,6280 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 1750/748, 6280/8895?
Answer: GCF of Numerators as per given numbers 1750/748, 6280/8895 is
GCF of Numerators i.e. for 1750,6280 is 10
LCM of denominators i.e. for 748,8895 is 6653460.
Thus, GCF of Fractions is 10/6653460.Finally, GCF of Fractions for 1750/748, 6280/8895 is 10/6653460.