Highest Common Factor of 3145, 6468 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 3145, 6468 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3145, 6468 is 1 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 3145, 6468 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 3145, 6468 is 1.
HCF(3145, 6468) = 1
HCF of 3145, 6468 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3145, 6468 is 1.
Highest Common Factor of 3145,6468 is 1
Step 1: Since 6468 > 3145, we apply the division lemma to 6468 and 3145, to get
6468 = 3145 x 2 + 178
Step 2: Since the reminder 3145 ≠ 0, we apply division lemma to 178 and 3145, to get
3145 = 178 x 17 + 119
Step 3: We consider the new divisor 178 and the new remainder 119, and apply the division lemma to get
178 = 119 x 1 + 59
We consider the new divisor 119 and the new remainder 59,and apply the division lemma to get
119 = 59 x 2 + 1
We consider the new divisor 59 and the new remainder 1,and apply the division lemma to get
59 = 1 x 59 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3145 and 6468 is 1
Notice that 1 = HCF(59,1) = HCF(119,59) = HCF(178,119) = HCF(3145,178) = HCF(6468,3145) .
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Frequently Asked Questions on HCF of 3145, 6468 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 3145, 6468?
Answer: HCF of 3145, 6468 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3145, 6468 using Euclid's Algorithm?
Answer: For arbitrary numbers 3145, 6468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.