Highest Common Factor of 967, 6685 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, 6685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 967, 6685 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, 6685 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, 6685 is 1.
HCF(967, 6685) = 1
HCF of 967, 6685 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, 6685 is 1.
Highest Common Factor of 967,6685 is 1
Step 1: Since 6685 > 967, we apply the division lemma to 6685 and 967, to get
6685 = 967 x 6 + 883
Step 2: Since the reminder 967 ≠ 0, we apply division lemma to 883 and 967, to get
967 = 883 x 1 + 84
Step 3: We consider the new divisor 883 and the new remainder 84, and apply the division lemma to get
883 = 84 x 10 + 43
We consider the new divisor 84 and the new remainder 43,and apply the division lemma to get
84 = 43 x 1 + 41
We consider the new divisor 43 and the new remainder 41,and apply the division lemma to get
43 = 41 x 1 + 2
We consider the new divisor 41 and the new remainder 2,and apply the division lemma to get
41 = 2 x 20 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 967 and 6685 is 1
Notice that 1 = HCF(2,1) = HCF(41,2) = HCF(43,41) = HCF(84,43) = HCF(883,84) = HCF(967,883) = HCF(6685,967) .
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Frequently Asked Questions on HCF of 967, 6685 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, 6685?
Answer: HCF of 967, 6685 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 967, 6685 using Euclid's Algorithm?
Answer: For arbitrary numbers 967, 6685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.