Highest Common Factor of 548, 396, 568 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 548, 396, 568 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 548, 396, 568 is 4 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 548, 396, 568 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 548, 396, 568 is 4.
HCF(548, 396, 568) = 4
HCF of 548, 396, 568 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 548, 396, 568 is 4.
Highest Common Factor of 548,396,568 is 4
Step 1: Since 548 > 396, we apply the division lemma to 548 and 396, to get
548 = 396 x 1 + 152
Step 2: Since the reminder 396 ≠ 0, we apply division lemma to 152 and 396, to get
396 = 152 x 2 + 92
Step 3: We consider the new divisor 152 and the new remainder 92, and apply the division lemma to get
152 = 92 x 1 + 60
We consider the new divisor 92 and the new remainder 60,and apply the division lemma to get
92 = 60 x 1 + 32
We consider the new divisor 60 and the new remainder 32,and apply the division lemma to get
60 = 32 x 1 + 28
We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get
32 = 28 x 1 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 548 and 396 is 4
Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(60,32) = HCF(92,60) = HCF(152,92) = HCF(396,152) = HCF(548,396) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 568 > 4, we apply the division lemma to 568 and 4, to get
568 = 4 x 142 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 568 is 4
Notice that 4 = HCF(568,4) .
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Frequently Asked Questions on HCF of 548, 396, 568 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 548, 396, 568?
Answer: HCF of 548, 396, 568 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 548, 396, 568 using Euclid's Algorithm?
Answer: For arbitrary numbers 548, 396, 568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
