Highest Common Factor of 5370, 9530 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 5370, 9530 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 5370, 9530 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 5370, 9530 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 5370, 9530 is 10.
HCF(5370, 9530) = 10
HCF of 5370, 9530 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5370, 9530 is 10.
Highest Common Factor of 5370,9530 is 10
Step 1: Since 9530 > 5370, we apply the division lemma to 9530 and 5370, to get
9530 = 5370 x 1 + 4160
Step 2: Since the reminder 5370 ≠ 0, we apply division lemma to 4160 and 5370, to get
5370 = 4160 x 1 + 1210
Step 3: We consider the new divisor 4160 and the new remainder 1210, and apply the division lemma to get
4160 = 1210 x 3 + 530
We consider the new divisor 1210 and the new remainder 530,and apply the division lemma to get
1210 = 530 x 2 + 150
We consider the new divisor 530 and the new remainder 150,and apply the division lemma to get
530 = 150 x 3 + 80
We consider the new divisor 150 and the new remainder 80,and apply the division lemma to get
150 = 80 x 1 + 70
We consider the new divisor 80 and the new remainder 70,and apply the division lemma to get
80 = 70 x 1 + 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 5370 and 9530 is 10
Notice that 10 = HCF(70,10) = HCF(80,70) = HCF(150,80) = HCF(530,150) = HCF(1210,530) = HCF(4160,1210) = HCF(5370,4160) = HCF(9530,5370) .
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Frequently Asked Questions on HCF of 5370, 9530 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 5370, 9530?
Answer: HCF of 5370, 9530 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5370, 9530 using Euclid's Algorithm?
Answer: For arbitrary numbers 5370, 9530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.