Highest Common Factor of 6830, 6465 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 6830, 6465 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6830, 6465 is 5 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 6830, 6465 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 6830, 6465 is 5.
HCF(6830, 6465) = 5
HCF of 6830, 6465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6830, 6465 is 5.
Highest Common Factor of 6830,6465 is 5
Step 1: Since 6830 > 6465, we apply the division lemma to 6830 and 6465, to get
6830 = 6465 x 1 + 365
Step 2: Since the reminder 6465 ≠ 0, we apply division lemma to 365 and 6465, to get
6465 = 365 x 17 + 260
Step 3: We consider the new divisor 365 and the new remainder 260, and apply the division lemma to get
365 = 260 x 1 + 105
We consider the new divisor 260 and the new remainder 105,and apply the division lemma to get
260 = 105 x 2 + 50
We consider the new divisor 105 and the new remainder 50,and apply the division lemma to get
105 = 50 x 2 + 5
We consider the new divisor 50 and the new remainder 5,and apply the division lemma to get
50 = 5 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6830 and 6465 is 5
Notice that 5 = HCF(50,5) = HCF(105,50) = HCF(260,105) = HCF(365,260) = HCF(6465,365) = HCF(6830,6465) .
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Frequently Asked Questions on HCF of 6830, 6465 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 6830, 6465?
Answer: HCF of 6830, 6465 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6830, 6465 using Euclid's Algorithm?
Answer: For arbitrary numbers 6830, 6465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.