Highest Common Factor of 967, 554 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 967, 554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 967, 554 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 967, 554 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 967, 554 is 1.
HCF(967, 554) = 1
HCF of 967, 554 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 967, 554 is 1.
Highest Common Factor of 967,554 is 1
Step 1: Since 967 > 554, we apply the division lemma to 967 and 554, to get
967 = 554 x 1 + 413
Step 2: Since the reminder 554 ≠ 0, we apply division lemma to 413 and 554, to get
554 = 413 x 1 + 141
Step 3: We consider the new divisor 413 and the new remainder 141, and apply the division lemma to get
413 = 141 x 2 + 131
We consider the new divisor 141 and the new remainder 131,and apply the division lemma to get
141 = 131 x 1 + 10
We consider the new divisor 131 and the new remainder 10,and apply the division lemma to get
131 = 10 x 13 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 967 and 554 is 1
Notice that 1 = HCF(10,1) = HCF(131,10) = HCF(141,131) = HCF(413,141) = HCF(554,413) = HCF(967,554) .
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Frequently Asked Questions on HCF of 967, 554 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 967, 554?
Answer: HCF of 967, 554 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 967, 554 using Euclid's Algorithm?
Answer: For arbitrary numbers 967, 554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.