Highest Common Factor of 2588, 7352 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 2588, 7352 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2588, 7352 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 2588, 7352 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 2588, 7352 is 4.
HCF(2588, 7352) = 4
HCF of 2588, 7352 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2588, 7352 is 4.
Highest Common Factor of 2588,7352 is 4
Step 1: Since 7352 > 2588, we apply the division lemma to 7352 and 2588, to get
7352 = 2588 x 2 + 2176
Step 2: Since the reminder 2588 ≠ 0, we apply division lemma to 2176 and 2588, to get
2588 = 2176 x 1 + 412
Step 3: We consider the new divisor 2176 and the new remainder 412, and apply the division lemma to get
2176 = 412 x 5 + 116
We consider the new divisor 412 and the new remainder 116,and apply the division lemma to get
412 = 116 x 3 + 64
We consider the new divisor 116 and the new remainder 64,and apply the division lemma to get
116 = 64 x 1 + 52
We consider the new divisor 64 and the new remainder 52,and apply the division lemma to get
64 = 52 x 1 + 12
We consider the new divisor 52 and the new remainder 12,and apply the division lemma to get
52 = 12 x 4 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2588 and 7352 is 4
Notice that 4 = HCF(12,4) = HCF(52,12) = HCF(64,52) = HCF(116,64) = HCF(412,116) = HCF(2176,412) = HCF(2588,2176) = HCF(7352,2588) .
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Frequently Asked Questions on HCF of 2588, 7352 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 2588, 7352?
Answer: HCF of 2588, 7352 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2588, 7352 using Euclid's Algorithm?
Answer: For arbitrary numbers 2588, 7352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.