GCF of 1249/113, 7418/4972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1249/113, 7418/4972 i.e 1/4972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1249/113, 7418/4972.
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 1249/113,7418/4972?
Given fractions are 1249/113,7418/4972
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 1249/113,7418/4972, numerators are 1249,7418
Denominators are 113,4972
The GCF of 1249,7418 is 1 .
LCM of 113,4972 is 4972.
The greatest common factor of 1249/113,7418/4972 = [GCF of 1249,7418]/[LCM of 113,4972]= 1/4972
Therefore, the GCF of 1249/113,7418/4972 is 1/4972.
To find the highest common factor of 1249,7418, we have to find the factors of both numbers and list the highest common factor.
The factors of 1249 are 1, 1249
The factors of 7418 are 1, 2, 3709, 7418
The HCF of 1249,7418 is 1.
Lets's calculate GCF of 1249,7418
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1249,7418 By Matching Biggest Common Factor Method
Now, list down the factors of 1249
:1,1249
Now, list down the factors of 7418
:1,2,3709,7418
Greatest Common Factor
We found the factors 1249,7418 . The biggest common factor number is the GCF number.
So the greatest common factor 1249,7418 is 1.
Lets's calculate LCM of 113,4972
| 113 | 113, 4972 |
| 1, 44 |
∴ So the LCM of the given numbers is 113 x 1 x 44 = 4972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4972
Therefore, the GCF of Fractions 1249/113,7418/4972 is 1/4972
Least Common Multiple of 113,4972 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 113,4972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,4972) = 113
common factors(in case of two or more numbers have common factors) = 1
GCF(113,4972) x common factors =113 x 1 = 113
LCM(113,4972) = ( 113 × 4972 ) / 113
LCM(113,4972) = 561836 / 113
LCM(113,4972) = 4972
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FAQs on GCF of Fractions of 1249/113, 7418/4972
1. What is the HCF of 1249,7418?
The HCF of 1249,7418 is 1
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 1249/113, 7418/4972?
Answer: GCF of Numerators as per given numbers 1249/113, 7418/4972 is
GCF of Numerators i.e. for 1249,7418 is 1
LCM of denominators i.e. for 113,4972 is 4972.
Thus, GCF of Fractions is 1/4972.Finally, GCF of Fractions for 1249/113, 7418/4972 is 1/4972.