Highest Common Factor of 357, 336, 928 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 357, 336, 928 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 357, 336, 928 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 357, 336, 928 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 357, 336, 928 is 1.
HCF(357, 336, 928) = 1
HCF of 357, 336, 928 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 357, 336, 928 is 1.
Highest Common Factor of 357,336,928 is 1
Step 1: Since 357 > 336, we apply the division lemma to 357 and 336, to get
357 = 336 x 1 + 21
Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 21 and 336, to get
336 = 21 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 357 and 336 is 21
Notice that 21 = HCF(336,21) = HCF(357,336) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 928 > 21, we apply the division lemma to 928 and 21, to get
928 = 21 x 44 + 4
Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 4 and 21, to get
21 = 4 x 5 + 1
Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 21 and 928 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(928,21) .
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Frequently Asked Questions on HCF of 357, 336, 928 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 357, 336, 928?
Answer: HCF of 357, 336, 928 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 357, 336, 928 using Euclid's Algorithm?
Answer: For arbitrary numbers 357, 336, 928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.