Highest Common Factor of 8945, 9967 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 8945, 9967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8945, 9967 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 8945, 9967 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 8945, 9967 is 1.
HCF(8945, 9967) = 1
HCF of 8945, 9967 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8945, 9967 is 1.
Highest Common Factor of 8945,9967 is 1
Step 1: Since 9967 > 8945, we apply the division lemma to 9967 and 8945, to get
9967 = 8945 x 1 + 1022
Step 2: Since the reminder 8945 ≠ 0, we apply division lemma to 1022 and 8945, to get
8945 = 1022 x 8 + 769
Step 3: We consider the new divisor 1022 and the new remainder 769, and apply the division lemma to get
1022 = 769 x 1 + 253
We consider the new divisor 769 and the new remainder 253,and apply the division lemma to get
769 = 253 x 3 + 10
We consider the new divisor 253 and the new remainder 10,and apply the division lemma to get
253 = 10 x 25 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8945 and 9967 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(253,10) = HCF(769,253) = HCF(1022,769) = HCF(8945,1022) = HCF(9967,8945) .
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Frequently Asked Questions on HCF of 8945, 9967 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 8945, 9967?
Answer: HCF of 8945, 9967 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8945, 9967 using Euclid's Algorithm?
Answer: For arbitrary numbers 8945, 9967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
