GCF of 7906/705, 1422/340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7906/705, 1422/340 i.e 2/47940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7906/705, 1422/340.
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 7906/705,1422/340?
Given fractions are 7906/705,1422/340
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 7906/705,1422/340, numerators are 7906,1422
Denominators are 705,340
The GCF of 7906,1422 is 2 .
LCM of 705,340 is 47940.
The greatest common factor of 7906/705,1422/340 = [GCF of 7906,1422]/[LCM of 705,340]= 2/47940
Therefore, the GCF of 7906/705,1422/340 is 2/47940.
To find the highest common factor of 7906,1422, we have to find the factors of both numbers and list the highest common factor.
The factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906
The factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422
The HCF of 7906,1422 is 2.
Lets's calculate GCF of 7906,1422
| 2 | 7906, 1422 |
| 3953, 711 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7906,1422 By Matching Biggest Common Factor Method
Now, list down the factors of 7906
:1,2,59,67,118,134,3953,7906
Now, list down the factors of 1422
:1,2,3,6,9,18,79,158,237,474,711,1422
Greatest Common Factor
We found the factors 7906,1422 . The biggest common factor number is the GCF number.
So the greatest common factor 7906,1422 is 2.
Lets's calculate LCM of 705,340
| 5 | 705, 340 |
| 141, 68 |
∴ So the LCM of the given numbers is 5 x 141 x 68 = 47940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47940
Therefore, the GCF of Fractions 7906/705,1422/340 is 2/47940
Least Common Multiple of 705,340 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 705,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,340) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(705,340) x common factors =5 x 1 = 5
LCM(705,340) = ( 705 × 340 ) / 5
LCM(705,340) = 239700 / 5
LCM(705,340) = 47940
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FAQs on GCF of Fractions of 7906/705, 1422/340
1. What is the HCF of 7906,1422?
The HCF of 7906,1422 is 2
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 7906/705, 1422/340?
Answer: GCF of Numerators as per given numbers 7906/705, 1422/340 is
GCF of Numerators i.e. for 7906,1422 is 2
LCM of denominators i.e. for 705,340 is 47940.
Thus, GCF of Fractions is 2/47940.Finally, GCF of Fractions for 7906/705, 1422/340 is 2/47940.