Highest Common Factor of 6309, 5751 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 6309, 5751 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 6309, 5751 is 9 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 6309, 5751 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 6309, 5751 is 9.
HCF(6309, 5751) = 9
HCF of 6309, 5751 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6309, 5751 is 9.
Highest Common Factor of 6309,5751 is 9
Step 1: Since 6309 > 5751, we apply the division lemma to 6309 and 5751, to get
6309 = 5751 x 1 + 558
Step 2: Since the reminder 5751 ≠ 0, we apply division lemma to 558 and 5751, to get
5751 = 558 x 10 + 171
Step 3: We consider the new divisor 558 and the new remainder 171, and apply the division lemma to get
558 = 171 x 3 + 45
We consider the new divisor 171 and the new remainder 45,and apply the division lemma to get
171 = 45 x 3 + 36
We consider the new divisor 45 and the new remainder 36,and apply the division lemma to get
45 = 36 x 1 + 9
We consider the new divisor 36 and the new remainder 9,and apply the division lemma to get
36 = 9 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 6309 and 5751 is 9
Notice that 9 = HCF(36,9) = HCF(45,36) = HCF(171,45) = HCF(558,171) = HCF(5751,558) = HCF(6309,5751) .
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Frequently Asked Questions on HCF of 6309, 5751 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 6309, 5751?
Answer: HCF of 6309, 5751 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6309, 5751 using Euclid's Algorithm?
Answer: For arbitrary numbers 6309, 5751 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.