Highest Common Factor of 684, 3855 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 684, 3855 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 684, 3855 is 3 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 684, 3855 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 684, 3855 is 3.
HCF(684, 3855) = 3
HCF of 684, 3855 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 684, 3855 is 3.
Highest Common Factor of 684,3855 is 3
Step 1: Since 3855 > 684, we apply the division lemma to 3855 and 684, to get
3855 = 684 x 5 + 435
Step 2: Since the reminder 684 ≠ 0, we apply division lemma to 435 and 684, to get
684 = 435 x 1 + 249
Step 3: We consider the new divisor 435 and the new remainder 249, and apply the division lemma to get
435 = 249 x 1 + 186
We consider the new divisor 249 and the new remainder 186,and apply the division lemma to get
249 = 186 x 1 + 63
We consider the new divisor 186 and the new remainder 63,and apply the division lemma to get
186 = 63 x 2 + 60
We consider the new divisor 63 and the new remainder 60,and apply the division lemma to get
63 = 60 x 1 + 3
We consider the new divisor 60 and the new remainder 3,and apply the division lemma to get
60 = 3 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 684 and 3855 is 3
Notice that 3 = HCF(60,3) = HCF(63,60) = HCF(186,63) = HCF(249,186) = HCF(435,249) = HCF(684,435) = HCF(3855,684) .
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Frequently Asked Questions on HCF of 684, 3855 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 684, 3855?
Answer: HCF of 684, 3855 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 684, 3855 using Euclid's Algorithm?
Answer: For arbitrary numbers 684, 3855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
