Highest Common Factor of 7264, 2596 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, 2596 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7264, 2596 is 4 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, 2596 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, 2596 is 4.
HCF(7264, 2596) = 4
HCF of 7264, 2596 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, 2596 is 4.
Highest Common Factor of 7264,2596 is 4
Step 1: Since 7264 > 2596, we apply the division lemma to 7264 and 2596, to get
7264 = 2596 x 2 + 2072
Step 2: Since the reminder 2596 ≠ 0, we apply division lemma to 2072 and 2596, to get
2596 = 2072 x 1 + 524
Step 3: We consider the new divisor 2072 and the new remainder 524, and apply the division lemma to get
2072 = 524 x 3 + 500
We consider the new divisor 524 and the new remainder 500,and apply the division lemma to get
524 = 500 x 1 + 24
We consider the new divisor 500 and the new remainder 24,and apply the division lemma to get
500 = 24 x 20 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7264 and 2596 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(500,24) = HCF(524,500) = HCF(2072,524) = HCF(2596,2072) = HCF(7264,2596) .
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Frequently Asked Questions on HCF of 7264, 2596 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, 2596?
Answer: HCF of 7264, 2596 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7264, 2596 using Euclid's Algorithm?
Answer: For arbitrary numbers 7264, 2596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
