GCF of 3835/814, 7906/7074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3835/814, 7906/7074 i.e 59/2879118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3835/814, 7906/7074.
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 3835/814,7906/7074?
Given fractions are 3835/814,7906/7074
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 3835/814,7906/7074, numerators are 3835,7906
Denominators are 814,7074
The GCF of 3835,7906 is 59 .
LCM of 814,7074 is 2879118.
The greatest common factor of 3835/814,7906/7074 = [GCF of 3835,7906]/[LCM of 814,7074]= 59/2879118
Therefore, the GCF of 3835/814,7906/7074 is 59/2879118.
To find the highest common factor of 3835,7906, we have to find the factors of both numbers and list the highest common factor.
The factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835
The factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906
The HCF of 3835,7906 is 59.
Lets's calculate GCF of 3835,7906
| 59 | 3835, 7906 |
| 65, 134 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 3835,7906 By Matching Biggest Common Factor Method
Now, list down the factors of 3835
:1,5,13,59,65,295,767,3835
Now, list down the factors of 7906
:1,2,59,67,118,134,3953,7906
Greatest Common Factor
We found the factors 3835,7906 . The biggest common factor number is the GCF number.
So the greatest common factor 3835,7906 is 59.
Lets's calculate LCM of 814,7074
| 2 | 814, 7074 |
| 407, 3537 |
∴ So the LCM of the given numbers is 2 x 407 x 3537 = 2879118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/2879118
Therefore, the GCF of Fractions 3835/814,7906/7074 is 59/2879118
Least Common Multiple of 814,7074 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 814,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,7074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,7074) x common factors =2 x 1 = 2
LCM(814,7074) = ( 814 × 7074 ) / 2
LCM(814,7074) = 5758236 / 2
LCM(814,7074) = 2879118
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FAQs on GCF of Fractions of 3835/814, 7906/7074
1. What is the HCF of 3835,7906?
The HCF of 3835,7906 is 59
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 3835/814, 7906/7074?
Answer: GCF of Numerators as per given numbers 3835/814, 7906/7074 is
GCF of Numerators i.e. for 3835,7906 is 59
LCM of denominators i.e. for 814,7074 is 2879118.
Thus, GCF of Fractions is 59/2879118.Finally, GCF of Fractions for 3835/814, 7906/7074 is 59/2879118.