Highest Common Factor of 7614, 324 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 7614, 324 i.e. 162 the largest integer that leaves a remainder zero for all numbers.
HCF of 7614, 324 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 7614, 324 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 7614, 324 is 162.
HCF(7614, 324) = 162
HCF of 7614, 324 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7614, 324 is 162.
Highest Common Factor of 7614,324 is 162
Step 1: Since 7614 > 324, we apply the division lemma to 7614 and 324, to get
7614 = 324 x 23 + 162
Step 2: Since the reminder 324 ≠ 0, we apply division lemma to 162 and 324, to get
324 = 162 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 162, the HCF of 7614 and 324 is 162
Notice that 162 = HCF(324,162) = HCF(7614,324) .
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Frequently Asked Questions on HCF of 7614, 324 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 7614, 324?
Answer: HCF of 7614, 324 is 162 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7614, 324 using Euclid's Algorithm?
Answer: For arbitrary numbers 7614, 324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.