Highest Common Factor of 5196, 3030 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 5196, 3030 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5196, 3030 is 6 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 5196, 3030 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 5196, 3030 is 6.
HCF(5196, 3030) = 6
HCF of 5196, 3030 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5196, 3030 is 6.
Highest Common Factor of 5196,3030 is 6
Step 1: Since 5196 > 3030, we apply the division lemma to 5196 and 3030, to get
5196 = 3030 x 1 + 2166
Step 2: Since the reminder 3030 ≠ 0, we apply division lemma to 2166 and 3030, to get
3030 = 2166 x 1 + 864
Step 3: We consider the new divisor 2166 and the new remainder 864, and apply the division lemma to get
2166 = 864 x 2 + 438
We consider the new divisor 864 and the new remainder 438,and apply the division lemma to get
864 = 438 x 1 + 426
We consider the new divisor 438 and the new remainder 426,and apply the division lemma to get
438 = 426 x 1 + 12
We consider the new divisor 426 and the new remainder 12,and apply the division lemma to get
426 = 12 x 35 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5196 and 3030 is 6
Notice that 6 = HCF(12,6) = HCF(426,12) = HCF(438,426) = HCF(864,438) = HCF(2166,864) = HCF(3030,2166) = HCF(5196,3030) .
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Frequently Asked Questions on HCF of 5196, 3030 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 5196, 3030?
Answer: HCF of 5196, 3030 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5196, 3030 using Euclid's Algorithm?
Answer: For arbitrary numbers 5196, 3030 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.