Highest Common Factor of 3415, 8324, 73255 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 3415, 8324, 73255 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3415, 8324, 73255 is 1 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 3415, 8324, 73255 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 3415, 8324, 73255 is 1.
HCF(3415, 8324, 73255) = 1
HCF of 3415, 8324, 73255 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3415, 8324, 73255 is 1.
Highest Common Factor of 3415,8324,73255 is 1
Step 1: Since 8324 > 3415, we apply the division lemma to 8324 and 3415, to get
8324 = 3415 x 2 + 1494
Step 2: Since the reminder 3415 ≠ 0, we apply division lemma to 1494 and 3415, to get
3415 = 1494 x 2 + 427
Step 3: We consider the new divisor 1494 and the new remainder 427, and apply the division lemma to get
1494 = 427 x 3 + 213
We consider the new divisor 427 and the new remainder 213,and apply the division lemma to get
427 = 213 x 2 + 1
We consider the new divisor 213 and the new remainder 1,and apply the division lemma to get
213 = 1 x 213 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3415 and 8324 is 1
Notice that 1 = HCF(213,1) = HCF(427,213) = HCF(1494,427) = HCF(3415,1494) = HCF(8324,3415) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 73255 > 1, we apply the division lemma to 73255 and 1, to get
73255 = 1 x 73255 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73255 is 1
Notice that 1 = HCF(73255,1) .
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Frequently Asked Questions on HCF of 3415, 8324, 73255 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 3415, 8324, 73255?
Answer: HCF of 3415, 8324, 73255 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3415, 8324, 73255 using Euclid's Algorithm?
Answer: For arbitrary numbers 3415, 8324, 73255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.