Highest Common Factor of 967, 8242 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, 8242 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 967, 8242 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, 8242 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, 8242 is 1.
HCF(967, 8242) = 1
HCF of 967, 8242 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, 8242 is 1.
Highest Common Factor of 967,8242 is 1
Step 1: Since 8242 > 967, we apply the division lemma to 8242 and 967, to get
8242 = 967 x 8 + 506
Step 2: Since the reminder 967 ≠ 0, we apply division lemma to 506 and 967, to get
967 = 506 x 1 + 461
Step 3: We consider the new divisor 506 and the new remainder 461, and apply the division lemma to get
506 = 461 x 1 + 45
We consider the new divisor 461 and the new remainder 45,and apply the division lemma to get
461 = 45 x 10 + 11
We consider the new divisor 45 and the new remainder 11,and apply the division lemma to get
45 = 11 x 4 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 967 and 8242 is 1
Notice that 1 = HCF(11,1) = HCF(45,11) = HCF(461,45) = HCF(506,461) = HCF(967,506) = HCF(8242,967) .
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Frequently Asked Questions on HCF of 967, 8242 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, 8242?
Answer: HCF of 967, 8242 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 967, 8242 using Euclid's Algorithm?
Answer: For arbitrary numbers 967, 8242 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.