Highest Common Factor of 5467, 6967 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 5467, 6967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5467, 6967 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 5467, 6967 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 5467, 6967 is 1.
HCF(5467, 6967) = 1
HCF of 5467, 6967 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5467, 6967 is 1.
Highest Common Factor of 5467,6967 is 1
Step 1: Since 6967 > 5467, we apply the division lemma to 6967 and 5467, to get
6967 = 5467 x 1 + 1500
Step 2: Since the reminder 5467 ≠ 0, we apply division lemma to 1500 and 5467, to get
5467 = 1500 x 3 + 967
Step 3: We consider the new divisor 1500 and the new remainder 967, and apply the division lemma to get
1500 = 967 x 1 + 533
We consider the new divisor 967 and the new remainder 533,and apply the division lemma to get
967 = 533 x 1 + 434
We consider the new divisor 533 and the new remainder 434,and apply the division lemma to get
533 = 434 x 1 + 99
We consider the new divisor 434 and the new remainder 99,and apply the division lemma to get
434 = 99 x 4 + 38
We consider the new divisor 99 and the new remainder 38,and apply the division lemma to get
99 = 38 x 2 + 23
We consider the new divisor 38 and the new remainder 23,and apply the division lemma to get
38 = 23 x 1 + 15
We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get
23 = 15 x 1 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5467 and 6967 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(38,23) = HCF(99,38) = HCF(434,99) = HCF(533,434) = HCF(967,533) = HCF(1500,967) = HCF(5467,1500) = HCF(6967,5467) .
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Frequently Asked Questions on HCF of 5467, 6967 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 5467, 6967?
Answer: HCF of 5467, 6967 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5467, 6967 using Euclid's Algorithm?
Answer: For arbitrary numbers 5467, 6967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.