Highest Common Factor of 5530, 6120 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 5530, 6120 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 5530, 6120 is 10 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 5530, 6120 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 5530, 6120 is 10.
HCF(5530, 6120) = 10
HCF of 5530, 6120 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5530, 6120 is 10.
Highest Common Factor of 5530,6120 is 10
Step 1: Since 6120 > 5530, we apply the division lemma to 6120 and 5530, to get
6120 = 5530 x 1 + 590
Step 2: Since the reminder 5530 ≠ 0, we apply division lemma to 590 and 5530, to get
5530 = 590 x 9 + 220
Step 3: We consider the new divisor 590 and the new remainder 220, and apply the division lemma to get
590 = 220 x 2 + 150
We consider the new divisor 220 and the new remainder 150,and apply the division lemma to get
220 = 150 x 1 + 70
We consider the new divisor 150 and the new remainder 70,and apply the division lemma to get
150 = 70 x 2 + 10
We consider the new divisor 70 and the new remainder 10,and apply the division lemma to get
70 = 10 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 5530 and 6120 is 10
Notice that 10 = HCF(70,10) = HCF(150,70) = HCF(220,150) = HCF(590,220) = HCF(5530,590) = HCF(6120,5530) .
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Frequently Asked Questions on HCF of 5530, 6120 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 5530, 6120?
Answer: HCF of 5530, 6120 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5530, 6120 using Euclid's Algorithm?
Answer: For arbitrary numbers 5530, 6120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.