GCF of 751/946, 314/898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 751/946, 314/898 i.e 1/424754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/946, 314/898.
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 751/946,314/898?
Given fractions are 751/946,314/898
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 751/946,314/898, numerators are 751,314
Denominators are 946,898
The GCF of 751,314 is 1 .
LCM of 946,898 is 424754.
The greatest common factor of 751/946,314/898 = [GCF of 751,314]/[LCM of 946,898]= 1/424754
Therefore, the GCF of 751/946,314/898 is 1/424754.
To find the highest common factor of 751,314, we have to find the factors of both numbers and list the highest common factor.
The factors of 751 are 1, 751
The factors of 314 are 1, 2, 157, 314
The HCF of 751,314 is 1.
Lets's calculate GCF of 751,314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 751,314 By Matching Biggest Common Factor Method
Now, list down the factors of 751
:1,751
Now, list down the factors of 314
:1,2,157,314
Greatest Common Factor
We found the factors 751,314 . The biggest common factor number is the GCF number.
So the greatest common factor 751,314 is 1.
Lets's calculate LCM of 946,898
| 2 | 946, 898 |
| 473, 449 |
∴ So the LCM of the given numbers is 2 x 473 x 449 = 424754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424754
Therefore, the GCF of Fractions 751/946,314/898 is 1/424754
Least Common Multiple of 946,898 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 946,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,898) x common factors =2 x 1 = 2
LCM(946,898) = ( 946 × 898 ) / 2
LCM(946,898) = 849508 / 2
LCM(946,898) = 424754
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FAQs on GCF of Fractions of 751/946, 314/898
1. What is the HCF of 751,314?
The HCF of 751,314 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 751/946, 314/898?
Answer: GCF of Numerators as per given numbers 751/946, 314/898 is
GCF of Numerators i.e. for 751,314 is 1
LCM of denominators i.e. for 946,898 is 424754.
Thus, GCF of Fractions is 1/424754.Finally, GCF of Fractions for 751/946, 314/898 is 1/424754.