GCF of 6254/975, 2067/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6254/975, 2067/701 i.e 53/683475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6254/975, 2067/701.
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 6254/975,2067/701?
Given fractions are 6254/975,2067/701
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 6254/975,2067/701, numerators are 6254,2067
Denominators are 975,701
The GCF of 6254,2067 is 53 .
LCM of 975,701 is 683475.
The greatest common factor of 6254/975,2067/701 = [GCF of 6254,2067]/[LCM of 975,701]= 53/683475
Therefore, the GCF of 6254/975,2067/701 is 53/683475.
To find the highest common factor of 6254,2067, we have to find the factors of both numbers and list the highest common factor.
The factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254
The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067
The HCF of 6254,2067 is 53.
Lets's calculate GCF of 6254,2067
| 53 | 6254, 2067 |
| 118, 39 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 6254,2067 By Matching Biggest Common Factor Method
Now, list down the factors of 6254
:1,2,53,59,106,118,3127,6254
Now, list down the factors of 2067
:1,3,13,39,53,159,689,2067
Greatest Common Factor
We found the factors 6254,2067 . The biggest common factor number is the GCF number.
So the greatest common factor 6254,2067 is 53.
Lets's calculate LCM of 975,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 683475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/683475
Therefore, the GCF of Fractions 6254/975,2067/701 is 53/683475
Least Common Multiple of 975,701 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 975,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,701) x common factors =1 x 1 = 1
LCM(975,701) = ( 975 × 701 ) / 1
LCM(975,701) = 683475 / 1
LCM(975,701) = 683475
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FAQs on GCF of Fractions of 6254/975, 2067/701
1. What is the HCF of 6254,2067?
The HCF of 6254,2067 is 53
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 6254/975, 2067/701?
Answer: GCF of Numerators as per given numbers 6254/975, 2067/701 is
GCF of Numerators i.e. for 6254,2067 is 53
LCM of denominators i.e. for 975,701 is 683475.
Thus, GCF of Fractions is 53/683475.Finally, GCF of Fractions for 6254/975, 2067/701 is 53/683475.