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 5029, 6441, 35095 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5029, 6441, 35095 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 5029, 6441, 35095 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 5029, 6441, 35095 is 1.
HCF(5029, 6441, 35095) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5029, 6441, 35095 is 1.
Step 1: Since 6441 > 5029, we apply the division lemma to 6441 and 5029, to get
6441 = 5029 x 1 + 1412
Step 2: Since the reminder 5029 ≠ 0, we apply division lemma to 1412 and 5029, to get
5029 = 1412 x 3 + 793
Step 3: We consider the new divisor 1412 and the new remainder 793, and apply the division lemma to get
1412 = 793 x 1 + 619
We consider the new divisor 793 and the new remainder 619,and apply the division lemma to get
793 = 619 x 1 + 174
We consider the new divisor 619 and the new remainder 174,and apply the division lemma to get
619 = 174 x 3 + 97
We consider the new divisor 174 and the new remainder 97,and apply the division lemma to get
174 = 97 x 1 + 77
We consider the new divisor 97 and the new remainder 77,and apply the division lemma to get
97 = 77 x 1 + 20
We consider the new divisor 77 and the new remainder 20,and apply the division lemma to get
77 = 20 x 3 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5029 and 6441 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(77,20) = HCF(97,77) = HCF(174,97) = HCF(619,174) = HCF(793,619) = HCF(1412,793) = HCF(5029,1412) = HCF(6441,5029) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 35095 > 1, we apply the division lemma to 35095 and 1, to get
35095 = 1 x 35095 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35095 is 1
Notice that 1 = HCF(35095,1) .
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 5029, 6441, 35095?
Answer: HCF of 5029, 6441, 35095 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5029, 6441, 35095 using Euclid's Algorithm?
Answer: For arbitrary numbers 5029, 6441, 35095 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.