Highest Common Factor of 1024, 7967 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 1024, 7967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1024, 7967 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 1024, 7967 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 1024, 7967 is 1.
HCF(1024, 7967) = 1
HCF of 1024, 7967 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1024, 7967 is 1.
Highest Common Factor of 1024,7967 is 1
Step 1: Since 7967 > 1024, we apply the division lemma to 7967 and 1024, to get
7967 = 1024 x 7 + 799
Step 2: Since the reminder 1024 ≠ 0, we apply division lemma to 799 and 1024, to get
1024 = 799 x 1 + 225
Step 3: We consider the new divisor 799 and the new remainder 225, and apply the division lemma to get
799 = 225 x 3 + 124
We consider the new divisor 225 and the new remainder 124,and apply the division lemma to get
225 = 124 x 1 + 101
We consider the new divisor 124 and the new remainder 101,and apply the division lemma to get
124 = 101 x 1 + 23
We consider the new divisor 101 and the new remainder 23,and apply the division lemma to get
101 = 23 x 4 + 9
We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get
23 = 9 x 2 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1024 and 7967 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(101,23) = HCF(124,101) = HCF(225,124) = HCF(799,225) = HCF(1024,799) = HCF(7967,1024) .
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Frequently Asked Questions on HCF of 1024, 7967 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 1024, 7967?
Answer: HCF of 1024, 7967 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1024, 7967 using Euclid's Algorithm?
Answer: For arbitrary numbers 1024, 7967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.