GCF of 4967/710, 4364/194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4967/710, 4364/194 i.e 1/68870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4967/710, 4364/194.
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 4967/710,4364/194?
Given fractions are 4967/710,4364/194
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 4967/710,4364/194, numerators are 4967,4364
Denominators are 710,194
The GCF of 4967,4364 is 1 .
LCM of 710,194 is 68870.
The greatest common factor of 4967/710,4364/194 = [GCF of 4967,4364]/[LCM of 710,194]= 1/68870
Therefore, the GCF of 4967/710,4364/194 is 1/68870.
To find the highest common factor of 4967,4364, we have to find the factors of both numbers and list the highest common factor.
The factors of 4967 are 1, 4967
The factors of 4364 are 1, 2, 4, 1091, 2182, 4364
The HCF of 4967,4364 is 1.
Lets's calculate GCF of 4967,4364
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4967,4364 By Matching Biggest Common Factor Method
Now, list down the factors of 4967
:1,4967
Now, list down the factors of 4364
:1,2,4,1091,2182,4364
Greatest Common Factor
We found the factors 4967,4364 . The biggest common factor number is the GCF number.
So the greatest common factor 4967,4364 is 1.
Lets's calculate LCM of 710,194
| 2 | 710, 194 |
| 355, 97 |
∴ So the LCM of the given numbers is 2 x 355 x 97 = 68870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68870
Therefore, the GCF of Fractions 4967/710,4364/194 is 1/68870
Least Common Multiple of 710,194 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 710,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,194) x common factors =2 x 1 = 2
LCM(710,194) = ( 710 × 194 ) / 2
LCM(710,194) = 137740 / 2
LCM(710,194) = 68870
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FAQs on GCF of Fractions of 4967/710, 4364/194
1. What is the HCF of 4967,4364?
The HCF of 4967,4364 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 4967/710, 4364/194?
Answer: GCF of Numerators as per given numbers 4967/710, 4364/194 is
GCF of Numerators i.e. for 4967,4364 is 1
LCM of denominators i.e. for 710,194 is 68870.
Thus, GCF of Fractions is 1/68870.Finally, GCF of Fractions for 4967/710, 4364/194 is 1/68870.