Highest Common Factor of 3030, 5422 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 3030, 5422 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3030, 5422 is 2 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 3030, 5422 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 3030, 5422 is 2.
HCF(3030, 5422) = 2
HCF of 3030, 5422 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3030, 5422 is 2.
Highest Common Factor of 3030,5422 is 2
Step 1: Since 5422 > 3030, we apply the division lemma to 5422 and 3030, to get
5422 = 3030 x 1 + 2392
Step 2: Since the reminder 3030 ≠ 0, we apply division lemma to 2392 and 3030, to get
3030 = 2392 x 1 + 638
Step 3: We consider the new divisor 2392 and the new remainder 638, and apply the division lemma to get
2392 = 638 x 3 + 478
We consider the new divisor 638 and the new remainder 478,and apply the division lemma to get
638 = 478 x 1 + 160
We consider the new divisor 478 and the new remainder 160,and apply the division lemma to get
478 = 160 x 2 + 158
We consider the new divisor 160 and the new remainder 158,and apply the division lemma to get
160 = 158 x 1 + 2
We consider the new divisor 158 and the new remainder 2,and apply the division lemma to get
158 = 2 x 79 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3030 and 5422 is 2
Notice that 2 = HCF(158,2) = HCF(160,158) = HCF(478,160) = HCF(638,478) = HCF(2392,638) = HCF(3030,2392) = HCF(5422,3030) .
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Frequently Asked Questions on HCF of 3030, 5422 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 3030, 5422?
Answer: HCF of 3030, 5422 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3030, 5422 using Euclid's Algorithm?
Answer: For arbitrary numbers 3030, 5422 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.