GCF of 1078/351, 6307/4987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1078/351, 6307/4987 i.e 7/1750437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1078/351, 6307/4987.
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 1078/351,6307/4987?
Given fractions are 1078/351,6307/4987
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 1078/351,6307/4987, numerators are 1078,6307
Denominators are 351,4987
The GCF of 1078,6307 is 7 .
LCM of 351,4987 is 1750437.
The greatest common factor of 1078/351,6307/4987 = [GCF of 1078,6307]/[LCM of 351,4987]= 7/1750437
Therefore, the GCF of 1078/351,6307/4987 is 7/1750437.
To find the highest common factor of 1078,6307, we have to find the factors of both numbers and list the highest common factor.
The factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078
The factors of 6307 are 1, 7, 17, 53, 119, 371, 901, 6307
The HCF of 1078,6307 is 7.
Lets's calculate GCF of 1078,6307
| 7 | 1078, 6307 |
| 154, 901 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1078,6307 By Matching Biggest Common Factor Method
Now, list down the factors of 1078
:1,2,7,11,14,22,49,77,98,154,539,1078
Now, list down the factors of 6307
:1,7,17,53,119,371,901,6307
Greatest Common Factor
We found the factors 1078,6307 . The biggest common factor number is the GCF number.
So the greatest common factor 1078,6307 is 7.
Lets's calculate LCM of 351,4987
Given numbers has no common factors except 1. So, there LCM is their product i.e 1750437
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1750437
Therefore, the GCF of Fractions 1078/351,6307/4987 is 7/1750437
Least Common Multiple of 351,4987 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 351,4987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,4987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,4987) x common factors =1 x 1 = 1
LCM(351,4987) = ( 351 × 4987 ) / 1
LCM(351,4987) = 1750437 / 1
LCM(351,4987) = 1750437
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FAQs on GCF of Fractions of 1078/351, 6307/4987
1. What is the HCF of 1078,6307?
The HCF of 1078,6307 is 7
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 1078/351, 6307/4987?
Answer: GCF of Numerators as per given numbers 1078/351, 6307/4987 is
GCF of Numerators i.e. for 1078,6307 is 7
LCM of denominators i.e. for 351,4987 is 1750437.
Thus, GCF of Fractions is 7/1750437.Finally, GCF of Fractions for 1078/351, 6307/4987 is 7/1750437.