GCF of 5467/274, 3948/5713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5467/274, 3948/5713 i.e 7/1565362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5467/274, 3948/5713.
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 5467/274,3948/5713?
Given fractions are 5467/274,3948/5713
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 5467/274,3948/5713, numerators are 5467,3948
Denominators are 274,5713
The GCF of 5467,3948 is 7 .
LCM of 274,5713 is 1565362.
The greatest common factor of 5467/274,3948/5713 = [GCF of 5467,3948]/[LCM of 274,5713]= 7/1565362
Therefore, the GCF of 5467/274,3948/5713 is 7/1565362.
To find the highest common factor of 5467,3948, we have to find the factors of both numbers and list the highest common factor.
The factors of 5467 are 1, 7, 11, 71, 77, 497, 781, 5467
The factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948
The HCF of 5467,3948 is 7.
Lets's calculate GCF of 5467,3948
| 7 | 5467, 3948 |
| 781, 564 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5467,3948 By Matching Biggest Common Factor Method
Now, list down the factors of 5467
:1,7,11,71,77,497,781,5467
Now, list down the factors of 3948
:1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948
Greatest Common Factor
We found the factors 5467,3948 . The biggest common factor number is the GCF number.
So the greatest common factor 5467,3948 is 7.
Lets's calculate LCM of 274,5713
Given numbers has no common factors except 1. So, there LCM is their product i.e 1565362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1565362
Therefore, the GCF of Fractions 5467/274,3948/5713 is 7/1565362
Least Common Multiple of 274,5713 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 274,5713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,5713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,5713) x common factors =1 x 1 = 1
LCM(274,5713) = ( 274 × 5713 ) / 1
LCM(274,5713) = 1565362 / 1
LCM(274,5713) = 1565362
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FAQs on GCF of Fractions of 5467/274, 3948/5713
1. What is the HCF of 5467,3948?
The HCF of 5467,3948 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 5467/274, 3948/5713?
Answer: GCF of Numerators as per given numbers 5467/274, 3948/5713 is
GCF of Numerators i.e. for 5467,3948 is 7
LCM of denominators i.e. for 274,5713 is 1565362.
Thus, GCF of Fractions is 7/1565362.Finally, GCF of Fractions for 5467/274, 3948/5713 is 7/1565362.