GCF of 4294/657, 4370/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4294/657, 4370/672 i.e 38/147168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4294/657, 4370/672.
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 4294/657,4370/672?
Given fractions are 4294/657,4370/672
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 4294/657,4370/672, numerators are 4294,4370
Denominators are 657,672
The GCF of 4294,4370 is 38 .
LCM of 657,672 is 147168.
The greatest common factor of 4294/657,4370/672 = [GCF of 4294,4370]/[LCM of 657,672]= 38/147168
Therefore, the GCF of 4294/657,4370/672 is 38/147168.
To find the highest common factor of 4294,4370, we have to find the factors of both numbers and list the highest common factor.
The factors of 4294 are 1, 2, 19, 38, 113, 226, 2147, 4294
The factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370
The HCF of 4294,4370 is 38.
Lets's calculate GCF of 4294,4370
| 2 | 4294, 4370 |
| 19 | 2147, 2185 |
| 113, 115 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 4294,4370 By Matching Biggest Common Factor Method
Now, list down the factors of 4294
:1,2,19,38,113,226,2147,4294
Now, list down the factors of 4370
:1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370
Greatest Common Factor
We found the factors 4294,4370 . The biggest common factor number is the GCF number.
So the greatest common factor 4294,4370 is 38.
Lets's calculate LCM of 657,672
| 3 | 657, 672 |
| 219, 224 |
∴ So the LCM of the given numbers is 3 x 219 x 224 = 147168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/147168
Therefore, the GCF of Fractions 4294/657,4370/672 is 38/147168
Least Common Multiple of 657,672 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 657,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,672) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(657,672) x common factors =3 x 1 = 3
LCM(657,672) = ( 657 × 672 ) / 3
LCM(657,672) = 441504 / 3
LCM(657,672) = 147168
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FAQs on GCF of Fractions of 4294/657, 4370/672
1. What is the HCF of 4294,4370?
The HCF of 4294,4370 is 38
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 4294/657, 4370/672?
Answer: GCF of Numerators as per given numbers 4294/657, 4370/672 is
GCF of Numerators i.e. for 4294,4370 is 38
LCM of denominators i.e. for 657,672 is 147168.
Thus, GCF of Fractions is 38/147168.Finally, GCF of Fractions for 4294/657, 4370/672 is 38/147168.