Highest Common Factor of 556, 321, 870 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, 321, 870 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 556, 321, 870 is 1 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, 321, 870 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, 321, 870 is 1.
HCF(556, 321, 870) = 1
HCF of 556, 321, 870 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, 321, 870 is 1.
Highest Common Factor of 556,321,870 is 1
Step 1: Since 556 > 321, we apply the division lemma to 556 and 321, to get
556 = 321 x 1 + 235
Step 2: Since the reminder 321 ≠ 0, we apply division lemma to 235 and 321, to get
321 = 235 x 1 + 86
Step 3: We consider the new divisor 235 and the new remainder 86, and apply the division lemma to get
235 = 86 x 2 + 63
We consider the new divisor 86 and the new remainder 63,and apply the division lemma to get
86 = 63 x 1 + 23
We consider the new divisor 63 and the new remainder 23,and apply the division lemma to get
63 = 23 x 2 + 17
We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get
23 = 17 x 1 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 556 and 321 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(63,23) = HCF(86,63) = HCF(235,86) = HCF(321,235) = HCF(556,321) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 870 > 1, we apply the division lemma to 870 and 1, to get
870 = 1 x 870 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 870 is 1
Notice that 1 = HCF(870,1) .
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Frequently Asked Questions on HCF of 556, 321, 870 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, 321, 870?
Answer: HCF of 556, 321, 870 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 556, 321, 870 using Euclid's Algorithm?
Answer: For arbitrary numbers 556, 321, 870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.