GCF of 950/508, 925/783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 950/508, 925/783 i.e 25/397764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/508, 925/783.
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 950/508,925/783?
Given fractions are 950/508,925/783
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 950/508,925/783, numerators are 950,925
Denominators are 508,783
The GCF of 950,925 is 25 .
LCM of 508,783 is 397764.
The greatest common factor of 950/508,925/783 = [GCF of 950,925]/[LCM of 508,783]= 25/397764
Therefore, the GCF of 950/508,925/783 is 25/397764.
To find the highest common factor of 950,925, we have to find the factors of both numbers and list the highest common factor.
The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
The factors of 925 are 1, 5, 25, 37, 185, 925
The HCF of 950,925 is 25.
Lets's calculate GCF of 950,925
| 5 | 950, 925 |
| 5 | 190, 185 |
| 38, 37 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 950,925 By Matching Biggest Common Factor Method
Now, list down the factors of 950
:1,2,5,10,19,25,38,50,95,190,475,950
Now, list down the factors of 925
:1,5,25,37,185,925
Greatest Common Factor
We found the factors 950,925 . The biggest common factor number is the GCF number.
So the greatest common factor 950,925 is 25.
Lets's calculate LCM of 508,783
Given numbers has no common factors except 1. So, there LCM is their product i.e 397764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/397764
Therefore, the GCF of Fractions 950/508,925/783 is 25/397764
Least Common Multiple of 508,783 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 508,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,783) x common factors =1 x 1 = 1
LCM(508,783) = ( 508 × 783 ) / 1
LCM(508,783) = 397764 / 1
LCM(508,783) = 397764
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FAQs on GCF of Fractions of 950/508, 925/783
1. What is the HCF of 950,925?
The HCF of 950,925 is 25
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 950/508, 925/783?
Answer: GCF of Numerators as per given numbers 950/508, 925/783 is
GCF of Numerators i.e. for 950,925 is 25
LCM of denominators i.e. for 508,783 is 397764.
Thus, GCF of Fractions is 25/397764.Finally, GCF of Fractions for 950/508, 925/783 is 25/397764.