Highest Common Factor of 556, 897 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, 897 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 556, 897 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, 897 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, 897 is 1.
HCF(556, 897) = 1
HCF of 556, 897 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, 897 is 1.
Highest Common Factor of 556,897 is 1
Step 1: Since 897 > 556, we apply the division lemma to 897 and 556, to get
897 = 556 x 1 + 341
Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 341 and 556, to get
556 = 341 x 1 + 215
Step 3: We consider the new divisor 341 and the new remainder 215, and apply the division lemma to get
341 = 215 x 1 + 126
We consider the new divisor 215 and the new remainder 126,and apply the division lemma to get
215 = 126 x 1 + 89
We consider the new divisor 126 and the new remainder 89,and apply the division lemma to get
126 = 89 x 1 + 37
We consider the new divisor 89 and the new remainder 37,and apply the division lemma to get
89 = 37 x 2 + 15
We consider the new divisor 37 and the new remainder 15,and apply the division lemma to get
37 = 15 x 2 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 556 and 897 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(37,15) = HCF(89,37) = HCF(126,89) = HCF(215,126) = HCF(341,215) = HCF(556,341) = HCF(897,556) .
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Frequently Asked Questions on HCF of 556, 897 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, 897?
Answer: HCF of 556, 897 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 556, 897 using Euclid's Algorithm?
Answer: For arbitrary numbers 556, 897 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.