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 839, 3029, 8958 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 839, 3029, 8958 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 839, 3029, 8958 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 839, 3029, 8958 is 1.
HCF(839, 3029, 8958) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 839, 3029, 8958 is 1.
Step 1: Since 3029 > 839, we apply the division lemma to 3029 and 839, to get
3029 = 839 x 3 + 512
Step 2: Since the reminder 839 ≠ 0, we apply division lemma to 512 and 839, to get
839 = 512 x 1 + 327
Step 3: We consider the new divisor 512 and the new remainder 327, and apply the division lemma to get
512 = 327 x 1 + 185
We consider the new divisor 327 and the new remainder 185,and apply the division lemma to get
327 = 185 x 1 + 142
We consider the new divisor 185 and the new remainder 142,and apply the division lemma to get
185 = 142 x 1 + 43
We consider the new divisor 142 and the new remainder 43,and apply the division lemma to get
142 = 43 x 3 + 13
We consider the new divisor 43 and the new remainder 13,and apply the division lemma to get
43 = 13 x 3 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
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 839 and 3029 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(43,13) = HCF(142,43) = HCF(185,142) = HCF(327,185) = HCF(512,327) = HCF(839,512) = HCF(3029,839) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8958 > 1, we apply the division lemma to 8958 and 1, to get
8958 = 1 x 8958 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8958 is 1
Notice that 1 = HCF(8958,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 839, 3029, 8958?
Answer: HCF of 839, 3029, 8958 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 839, 3029, 8958 using Euclid's Algorithm?
Answer: For arbitrary numbers 839, 3029, 8958 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.