Highest Common Factor of 5190, 9864 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 5190, 9864 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5190, 9864 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 5190, 9864 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 5190, 9864 is 6.
HCF(5190, 9864) = 6
HCF of 5190, 9864 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5190, 9864 is 6.
Highest Common Factor of 5190,9864 is 6
Step 1: Since 9864 > 5190, we apply the division lemma to 9864 and 5190, to get
9864 = 5190 x 1 + 4674
Step 2: Since the reminder 5190 ≠ 0, we apply division lemma to 4674 and 5190, to get
5190 = 4674 x 1 + 516
Step 3: We consider the new divisor 4674 and the new remainder 516, and apply the division lemma to get
4674 = 516 x 9 + 30
We consider the new divisor 516 and the new remainder 30,and apply the division lemma to get
516 = 30 x 17 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5190 and 9864 is 6
Notice that 6 = HCF(30,6) = HCF(516,30) = HCF(4674,516) = HCF(5190,4674) = HCF(9864,5190) .
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Frequently Asked Questions on HCF of 5190, 9864 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 5190, 9864?
Answer: HCF of 5190, 9864 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5190, 9864 using Euclid's Algorithm?
Answer: For arbitrary numbers 5190, 9864 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
