Highest Common Factor of 7264, 3859 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 7264, 3859 i.e. 227 the largest integer that leaves a remainder zero for all numbers.
HCF of 7264, 3859 is 227 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 7264, 3859 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 7264, 3859 is 227.
HCF(7264, 3859) = 227
HCF of 7264, 3859 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7264, 3859 is 227.
Highest Common Factor of 7264,3859 is 227
Step 1: Since 7264 > 3859, we apply the division lemma to 7264 and 3859, to get
7264 = 3859 x 1 + 3405
Step 2: Since the reminder 3859 ≠ 0, we apply division lemma to 3405 and 3859, to get
3859 = 3405 x 1 + 454
Step 3: We consider the new divisor 3405 and the new remainder 454, and apply the division lemma to get
3405 = 454 x 7 + 227
We consider the new divisor 454 and the new remainder 227, and apply the division lemma to get
454 = 227 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 227, the HCF of 7264 and 3859 is 227
Notice that 227 = HCF(454,227) = HCF(3405,454) = HCF(3859,3405) = HCF(7264,3859) .
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Frequently Asked Questions on HCF of 7264, 3859 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 7264, 3859?
Answer: HCF of 7264, 3859 is 227 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7264, 3859 using Euclid's Algorithm?
Answer: For arbitrary numbers 7264, 3859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.