GCF of 4652/526, 5376/5678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4652/526, 5376/5678 i.e 4/1493314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4652/526, 5376/5678.
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 4652/526,5376/5678?
Given fractions are 4652/526,5376/5678
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 4652/526,5376/5678, numerators are 4652,5376
Denominators are 526,5678
The GCF of 4652,5376 is 4 .
LCM of 526,5678 is 1493314.
The greatest common factor of 4652/526,5376/5678 = [GCF of 4652,5376]/[LCM of 526,5678]= 4/1493314
Therefore, the GCF of 4652/526,5376/5678 is 4/1493314.
To find the highest common factor of 4652,5376, we have to find the factors of both numbers and list the highest common factor.
The factors of 4652 are 1, 2, 4, 1163, 2326, 4652
The factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376
The HCF of 4652,5376 is 4.
Lets's calculate GCF of 4652,5376
| 2 | 4652, 5376 |
| 2 | 2326, 2688 |
| 1163, 1344 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4652,5376 By Matching Biggest Common Factor Method
Now, list down the factors of 4652
:1,2,4,1163,2326,4652
Now, list down the factors of 5376
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376
Greatest Common Factor
We found the factors 4652,5376 . The biggest common factor number is the GCF number.
So the greatest common factor 4652,5376 is 4.
Lets's calculate LCM of 526,5678
| 2 | 526, 5678 |
| 263, 2839 |
∴ So the LCM of the given numbers is 2 x 263 x 2839 = 1493314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1493314
Therefore, the GCF of Fractions 4652/526,5376/5678 is 4/1493314
Least Common Multiple of 526,5678 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 526,5678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,5678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,5678) x common factors =2 x 1 = 2
LCM(526,5678) = ( 526 × 5678 ) / 2
LCM(526,5678) = 2986628 / 2
LCM(526,5678) = 1493314
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FAQs on GCF of Fractions of 4652/526, 5376/5678
1. What is the HCF of 4652,5376?
The HCF of 4652,5376 is 4
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 4652/526, 5376/5678?
Answer: GCF of Numerators as per given numbers 4652/526, 5376/5678 is
GCF of Numerators i.e. for 4652,5376 is 4
LCM of denominators i.e. for 526,5678 is 1493314.
Thus, GCF of Fractions is 4/1493314.Finally, GCF of Fractions for 4652/526, 5376/5678 is 4/1493314.