Highest Common Factor of 4292, 6511 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 4292, 6511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4292, 6511 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 4292, 6511 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 4292, 6511 is 1.
HCF(4292, 6511) = 1
HCF of 4292, 6511 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4292, 6511 is 1.
Highest Common Factor of 4292,6511 is 1
Step 1: Since 6511 > 4292, we apply the division lemma to 6511 and 4292, to get
6511 = 4292 x 1 + 2219
Step 2: Since the reminder 4292 ≠ 0, we apply division lemma to 2219 and 4292, to get
4292 = 2219 x 1 + 2073
Step 3: We consider the new divisor 2219 and the new remainder 2073, and apply the division lemma to get
2219 = 2073 x 1 + 146
We consider the new divisor 2073 and the new remainder 146,and apply the division lemma to get
2073 = 146 x 14 + 29
We consider the new divisor 146 and the new remainder 29,and apply the division lemma to get
146 = 29 x 5 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4292 and 6511 is 1
Notice that 1 = HCF(29,1) = HCF(146,29) = HCF(2073,146) = HCF(2219,2073) = HCF(4292,2219) = HCF(6511,4292) .
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Frequently Asked Questions on HCF of 4292, 6511 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 4292, 6511?
Answer: HCF of 4292, 6511 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4292, 6511 using Euclid's Algorithm?
Answer: For arbitrary numbers 4292, 6511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
