Highest Common Factor of 556, 867, 981 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, 867, 981 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 556, 867, 981 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, 867, 981 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, 867, 981 is 1.
HCF(556, 867, 981) = 1
HCF of 556, 867, 981 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, 867, 981 is 1.
Highest Common Factor of 556,867,981 is 1
Step 1: Since 867 > 556, we apply the division lemma to 867 and 556, to get
867 = 556 x 1 + 311
Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 311 and 556, to get
556 = 311 x 1 + 245
Step 3: We consider the new divisor 311 and the new remainder 245, and apply the division lemma to get
311 = 245 x 1 + 66
We consider the new divisor 245 and the new remainder 66,and apply the division lemma to get
245 = 66 x 3 + 47
We consider the new divisor 66 and the new remainder 47,and apply the division lemma to get
66 = 47 x 1 + 19
We consider the new divisor 47 and the new remainder 19,and apply the division lemma to get
47 = 19 x 2 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 556 and 867 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(47,19) = HCF(66,47) = HCF(245,66) = HCF(311,245) = HCF(556,311) = HCF(867,556) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 981 > 1, we apply the division lemma to 981 and 1, to get
981 = 1 x 981 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 981 is 1
Notice that 1 = HCF(981,1) .
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Frequently Asked Questions on HCF of 556, 867, 981 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, 867, 981?
Answer: HCF of 556, 867, 981 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 556, 867, 981 using Euclid's Algorithm?
Answer: For arbitrary numbers 556, 867, 981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.