Highest Common Factor of 5467, 9560 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, 9560 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5467, 9560 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, 9560 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, 9560 is 1.
HCF(5467, 9560) = 1
HCF of 5467, 9560 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, 9560 is 1.
Highest Common Factor of 5467,9560 is 1
Step 1: Since 9560 > 5467, we apply the division lemma to 9560 and 5467, to get
9560 = 5467 x 1 + 4093
Step 2: Since the reminder 5467 ≠ 0, we apply division lemma to 4093 and 5467, to get
5467 = 4093 x 1 + 1374
Step 3: We consider the new divisor 4093 and the new remainder 1374, and apply the division lemma to get
4093 = 1374 x 2 + 1345
We consider the new divisor 1374 and the new remainder 1345,and apply the division lemma to get
1374 = 1345 x 1 + 29
We consider the new divisor 1345 and the new remainder 29,and apply the division lemma to get
1345 = 29 x 46 + 11
We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get
29 = 11 x 2 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 5467 and 9560 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(1345,29) = HCF(1374,1345) = HCF(4093,1374) = HCF(5467,4093) = HCF(9560,5467) .
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Frequently Asked Questions on HCF of 5467, 9560 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, 9560?
Answer: HCF of 5467, 9560 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5467, 9560 using Euclid's Algorithm?
Answer: For arbitrary numbers 5467, 9560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.