Highest Common Factor of 415, 798, 264 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 415, 798, 264 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 415, 798, 264 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 415, 798, 264 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 415, 798, 264 is 1.
HCF(415, 798, 264) = 1
HCF of 415, 798, 264 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 415, 798, 264 is 1.
Highest Common Factor of 415,798,264 is 1
Step 1: Since 798 > 415, we apply the division lemma to 798 and 415, to get
798 = 415 x 1 + 383
Step 2: Since the reminder 415 ≠ 0, we apply division lemma to 383 and 415, to get
415 = 383 x 1 + 32
Step 3: We consider the new divisor 383 and the new remainder 32, and apply the division lemma to get
383 = 32 x 11 + 31
We consider the new divisor 32 and the new remainder 31,and apply the division lemma to get
32 = 31 x 1 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 415 and 798 is 1
Notice that 1 = HCF(31,1) = HCF(32,31) = HCF(383,32) = HCF(415,383) = HCF(798,415) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 264 > 1, we apply the division lemma to 264 and 1, to get
264 = 1 x 264 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 264 is 1
Notice that 1 = HCF(264,1) .
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Frequently Asked Questions on HCF of 415, 798, 264 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 415, 798, 264?
Answer: HCF of 415, 798, 264 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 415, 798, 264 using Euclid's Algorithm?
Answer: For arbitrary numbers 415, 798, 264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.