GCF of 5257/250, 6972/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5257/250, 6972/235 i.e 7/11750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5257/250, 6972/235.
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 5257/250,6972/235?
Given fractions are 5257/250,6972/235
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 5257/250,6972/235, numerators are 5257,6972
Denominators are 250,235
The GCF of 5257,6972 is 7 .
LCM of 250,235 is 11750.
The greatest common factor of 5257/250,6972/235 = [GCF of 5257,6972]/[LCM of 250,235]= 7/11750
Therefore, the GCF of 5257/250,6972/235 is 7/11750.
To find the highest common factor of 5257,6972, we have to find the factors of both numbers and list the highest common factor.
The factors of 5257 are 1, 7, 751, 5257
The factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972
The HCF of 5257,6972 is 7.
Lets's calculate GCF of 5257,6972
| 7 | 5257, 6972 |
| 751, 996 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5257,6972 By Matching Biggest Common Factor Method
Now, list down the factors of 5257
:1,7,751,5257
Now, list down the factors of 6972
:1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972
Greatest Common Factor
We found the factors 5257,6972 . The biggest common factor number is the GCF number.
So the greatest common factor 5257,6972 is 7.
Lets's calculate LCM of 250,235
| 5 | 250, 235 |
| 50, 47 |
∴ So the LCM of the given numbers is 5 x 50 x 47 = 11750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/11750
Therefore, the GCF of Fractions 5257/250,6972/235 is 7/11750
Least Common Multiple of 250,235 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 250,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,235) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(250,235) x common factors =5 x 1 = 5
LCM(250,235) = ( 250 × 235 ) / 5
LCM(250,235) = 58750 / 5
LCM(250,235) = 11750
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FAQs on GCF of Fractions of 5257/250, 6972/235
1. What is the HCF of 5257,6972?
The HCF of 5257,6972 is 7
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 5257/250, 6972/235?
Answer: GCF of Numerators as per given numbers 5257/250, 6972/235 is
GCF of Numerators i.e. for 5257,6972 is 7
LCM of denominators i.e. for 250,235 is 11750.
Thus, GCF of Fractions is 7/11750.Finally, GCF of Fractions for 5257/250, 6972/235 is 7/11750.