Highest Common Factor of 7232, 2612 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 7232, 2612 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7232, 2612 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 7232, 2612 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 7232, 2612 is 4.
HCF(7232, 2612) = 4
HCF of 7232, 2612 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7232, 2612 is 4.
Highest Common Factor of 7232,2612 is 4
Step 1: Since 7232 > 2612, we apply the division lemma to 7232 and 2612, to get
7232 = 2612 x 2 + 2008
Step 2: Since the reminder 2612 ≠ 0, we apply division lemma to 2008 and 2612, to get
2612 = 2008 x 1 + 604
Step 3: We consider the new divisor 2008 and the new remainder 604, and apply the division lemma to get
2008 = 604 x 3 + 196
We consider the new divisor 604 and the new remainder 196,and apply the division lemma to get
604 = 196 x 3 + 16
We consider the new divisor 196 and the new remainder 16,and apply the division lemma to get
196 = 16 x 12 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7232 and 2612 is 4
Notice that 4 = HCF(16,4) = HCF(196,16) = HCF(604,196) = HCF(2008,604) = HCF(2612,2008) = HCF(7232,2612) .
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Frequently Asked Questions on HCF of 7232, 2612 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 7232, 2612?
Answer: HCF of 7232, 2612 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7232, 2612 using Euclid's Algorithm?
Answer: For arbitrary numbers 7232, 2612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.