Highest Common Factor of 7965, 3672 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 7965, 3672 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 7965, 3672 is 27 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 7965, 3672 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 7965, 3672 is 27.
HCF(7965, 3672) = 27
HCF of 7965, 3672 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7965, 3672 is 27.
Highest Common Factor of 7965,3672 is 27
Step 1: Since 7965 > 3672, we apply the division lemma to 7965 and 3672, to get
7965 = 3672 x 2 + 621
Step 2: Since the reminder 3672 ≠ 0, we apply division lemma to 621 and 3672, to get
3672 = 621 x 5 + 567
Step 3: We consider the new divisor 621 and the new remainder 567, and apply the division lemma to get
621 = 567 x 1 + 54
We consider the new divisor 567 and the new remainder 54,and apply the division lemma to get
567 = 54 x 10 + 27
We consider the new divisor 54 and the new remainder 27,and apply the division lemma to get
54 = 27 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 7965 and 3672 is 27
Notice that 27 = HCF(54,27) = HCF(567,54) = HCF(621,567) = HCF(3672,621) = HCF(7965,3672) .
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Frequently Asked Questions on HCF of 7965, 3672 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 7965, 3672?
Answer: HCF of 7965, 3672 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7965, 3672 using Euclid's Algorithm?
Answer: For arbitrary numbers 7965, 3672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.