GCF of 1672/697, 1676/2134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1672/697, 1676/2134 i.e 4/1487398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1672/697, 1676/2134.
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 1672/697,1676/2134?
Given fractions are 1672/697,1676/2134
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 1672/697,1676/2134, numerators are 1672,1676
Denominators are 697,2134
The GCF of 1672,1676 is 4 .
LCM of 697,2134 is 1487398.
The greatest common factor of 1672/697,1676/2134 = [GCF of 1672,1676]/[LCM of 697,2134]= 4/1487398
Therefore, the GCF of 1672/697,1676/2134 is 4/1487398.
To find the highest common factor of 1672,1676, we have to find the factors of both numbers and list the highest common factor.
The factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672
The factors of 1676 are 1, 2, 4, 419, 838, 1676
The HCF of 1672,1676 is 4.
Lets's calculate GCF of 1672,1676
| 2 | 1672, 1676 |
| 2 | 836, 838 |
| 418, 419 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1672,1676 By Matching Biggest Common Factor Method
Now, list down the factors of 1672
:1,2,4,8,11,19,22,38,44,76,88,152,209,418,836,1672
Now, list down the factors of 1676
:1,2,4,419,838,1676
Greatest Common Factor
We found the factors 1672,1676 . The biggest common factor number is the GCF number.
So the greatest common factor 1672,1676 is 4.
Lets's calculate LCM of 697,2134
Given numbers has no common factors except 1. So, there LCM is their product i.e 1487398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1487398
Therefore, the GCF of Fractions 1672/697,1676/2134 is 4/1487398
Least Common Multiple of 697,2134 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 697,2134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,2134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,2134) x common factors =1 x 1 = 1
LCM(697,2134) = ( 697 × 2134 ) / 1
LCM(697,2134) = 1487398 / 1
LCM(697,2134) = 1487398
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FAQs on GCF of Fractions of 1672/697, 1676/2134
1. What is the HCF of 1672,1676?
The HCF of 1672,1676 is 4
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 1672/697, 1676/2134?
Answer: GCF of Numerators as per given numbers 1672/697, 1676/2134 is
GCF of Numerators i.e. for 1672,1676 is 4
LCM of denominators i.e. for 697,2134 is 1487398.
Thus, GCF of Fractions is 4/1487398.Finally, GCF of Fractions for 1672/697, 1676/2134 is 4/1487398.