Highest Common Factor of 399, 684 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 399, 684 i.e. 57 the largest integer that leaves a remainder zero for all numbers.
HCF of 399, 684 is 57 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 399, 684 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 399, 684 is 57.
HCF(399, 684) = 57
HCF of 399, 684 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 399, 684 is 57.
Highest Common Factor of 399,684 is 57
Step 1: Since 684 > 399, we apply the division lemma to 684 and 399, to get
684 = 399 x 1 + 285
Step 2: Since the reminder 399 ≠ 0, we apply division lemma to 285 and 399, to get
399 = 285 x 1 + 114
Step 3: We consider the new divisor 285 and the new remainder 114, and apply the division lemma to get
285 = 114 x 2 + 57
We consider the new divisor 114 and the new remainder 57, and apply the division lemma to get
114 = 57 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 57, the HCF of 399 and 684 is 57
Notice that 57 = HCF(114,57) = HCF(285,114) = HCF(399,285) = HCF(684,399) .
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Frequently Asked Questions on HCF of 399, 684 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 399, 684?
Answer: HCF of 399, 684 is 57 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 399, 684 using Euclid's Algorithm?
Answer: For arbitrary numbers 399, 684 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
