Highest Common Factor of 556, 320, 26 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 556, 320, 26 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 556, 320, 26 is 2 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 556, 320, 26 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 556, 320, 26 is 2.
HCF(556, 320, 26) = 2
HCF of 556, 320, 26 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 556, 320, 26 is 2.
Highest Common Factor of 556,320,26 is 2
Step 1: Since 556 > 320, we apply the division lemma to 556 and 320, to get
556 = 320 x 1 + 236
Step 2: Since the reminder 320 ≠ 0, we apply division lemma to 236 and 320, to get
320 = 236 x 1 + 84
Step 3: We consider the new divisor 236 and the new remainder 84, and apply the division lemma to get
236 = 84 x 2 + 68
We consider the new divisor 84 and the new remainder 68,and apply the division lemma to get
84 = 68 x 1 + 16
We consider the new divisor 68 and the new remainder 16,and apply the division lemma to get
68 = 16 x 4 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 556 and 320 is 4
Notice that 4 = HCF(16,4) = HCF(68,16) = HCF(84,68) = HCF(236,84) = HCF(320,236) = HCF(556,320) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 26 > 4, we apply the division lemma to 26 and 4, to get
26 = 4 x 6 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 26 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) .
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Frequently Asked Questions on HCF of 556, 320, 26 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 556, 320, 26?
Answer: HCF of 556, 320, 26 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 556, 320, 26 using Euclid's Algorithm?
Answer: For arbitrary numbers 556, 320, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.