Highest Common Factor of 3564, 7614 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 3564, 7614 i.e. 162 the largest integer that leaves a remainder zero for all numbers.
HCF of 3564, 7614 is 162 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 3564, 7614 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 3564, 7614 is 162.
HCF(3564, 7614) = 162
HCF of 3564, 7614 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3564, 7614 is 162.
Highest Common Factor of 3564,7614 is 162
Step 1: Since 7614 > 3564, we apply the division lemma to 7614 and 3564, to get
7614 = 3564 x 2 + 486
Step 2: Since the reminder 3564 ≠ 0, we apply division lemma to 486 and 3564, to get
3564 = 486 x 7 + 162
Step 3: We consider the new divisor 486 and the new remainder 162, and apply the division lemma to get
486 = 162 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 162, the HCF of 3564 and 7614 is 162
Notice that 162 = HCF(486,162) = HCF(3564,486) = HCF(7614,3564) .
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Frequently Asked Questions on HCF of 3564, 7614 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 3564, 7614?
Answer: HCF of 3564, 7614 is 162 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3564, 7614 using Euclid's Algorithm?
Answer: For arbitrary numbers 3564, 7614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.