GCF of 7141/962, 1672/8260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7141/962, 1672/8260 i.e 1/3973060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7141/962, 1672/8260.
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 7141/962,1672/8260?
Given fractions are 7141/962,1672/8260
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 7141/962,1672/8260, numerators are 7141,1672
Denominators are 962,8260
The GCF of 7141,1672 is 1 .
LCM of 962,8260 is 3973060.
The greatest common factor of 7141/962,1672/8260 = [GCF of 7141,1672]/[LCM of 962,8260]= 1/3973060
Therefore, the GCF of 7141/962,1672/8260 is 1/3973060.
To find the highest common factor of 7141,1672, we have to find the factors of both numbers and list the highest common factor.
The factors of 7141 are 1, 37, 193, 7141
The factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672
The HCF of 7141,1672 is 1.
Lets's calculate GCF of 7141,1672
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7141,1672 By Matching Biggest Common Factor Method
Now, list down the factors of 7141
:1,37,193,7141
Now, list down the factors of 1672
:1,2,4,8,11,19,22,38,44,76,88,152,209,418,836,1672
Greatest Common Factor
We found the factors 7141,1672 . The biggest common factor number is the GCF number.
So the greatest common factor 7141,1672 is 1.
Lets's calculate LCM of 962,8260
| 2 | 962, 8260 |
| 481, 4130 |
∴ So the LCM of the given numbers is 2 x 481 x 4130 = 3973060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3973060
Therefore, the GCF of Fractions 7141/962,1672/8260 is 1/3973060
Least Common Multiple of 962,8260 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 962,8260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,8260) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,8260) x common factors =2 x 1 = 2
LCM(962,8260) = ( 962 × 8260 ) / 2
LCM(962,8260) = 7946120 / 2
LCM(962,8260) = 3973060
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FAQs on GCF of Fractions of 7141/962, 1672/8260
1. What is the HCF of 7141,1672?
The HCF of 7141,1672 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 7141/962, 1672/8260?
Answer: GCF of Numerators as per given numbers 7141/962, 1672/8260 is
GCF of Numerators i.e. for 7141,1672 is 1
LCM of denominators i.e. for 962,8260 is 3973060.
Thus, GCF of Fractions is 1/3973060.Finally, GCF of Fractions for 7141/962, 1672/8260 is 1/3973060.