Highest Common Factor of 5517, 1120 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 5517, 1120 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5517, 1120 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 5517, 1120 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 5517, 1120 is 1.
HCF(5517, 1120) = 1
HCF of 5517, 1120 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5517, 1120 is 1.
Highest Common Factor of 5517,1120 is 1
Step 1: Since 5517 > 1120, we apply the division lemma to 5517 and 1120, to get
5517 = 1120 x 4 + 1037
Step 2: Since the reminder 1120 ≠ 0, we apply division lemma to 1037 and 1120, to get
1120 = 1037 x 1 + 83
Step 3: We consider the new divisor 1037 and the new remainder 83, and apply the division lemma to get
1037 = 83 x 12 + 41
We consider the new divisor 83 and the new remainder 41,and apply the division lemma to get
83 = 41 x 2 + 1
We consider the new divisor 41 and the new remainder 1,and apply the division lemma to get
41 = 1 x 41 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5517 and 1120 is 1
Notice that 1 = HCF(41,1) = HCF(83,41) = HCF(1037,83) = HCF(1120,1037) = HCF(5517,1120) .
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Frequently Asked Questions on HCF of 5517, 1120 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 5517, 1120?
Answer: HCF of 5517, 1120 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5517, 1120 using Euclid's Algorithm?
Answer: For arbitrary numbers 5517, 1120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.