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 7155, 4729 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7155, 4729 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 7155, 4729 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 7155, 4729 is 1.
HCF(7155, 4729) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7155, 4729 is 1.
Step 1: Since 7155 > 4729, we apply the division lemma to 7155 and 4729, to get
7155 = 4729 x 1 + 2426
Step 2: Since the reminder 4729 ≠ 0, we apply division lemma to 2426 and 4729, to get
4729 = 2426 x 1 + 2303
Step 3: We consider the new divisor 2426 and the new remainder 2303, and apply the division lemma to get
2426 = 2303 x 1 + 123
We consider the new divisor 2303 and the new remainder 123,and apply the division lemma to get
2303 = 123 x 18 + 89
We consider the new divisor 123 and the new remainder 89,and apply the division lemma to get
123 = 89 x 1 + 34
We consider the new divisor 89 and the new remainder 34,and apply the division lemma to get
89 = 34 x 2 + 21
We consider the new divisor 34 and the new remainder 21,and apply the division lemma to get
34 = 21 x 1 + 13
We consider the new divisor 21 and the new remainder 13,and apply the division lemma to get
21 = 13 x 1 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 7155 and 4729 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(21,13) = HCF(34,21) = HCF(89,34) = HCF(123,89) = HCF(2303,123) = HCF(2426,2303) = HCF(4729,2426) = HCF(7155,4729) .
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 7155, 4729?
Answer: HCF of 7155, 4729 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7155, 4729 using Euclid's Algorithm?
Answer: For arbitrary numbers 7155, 4729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.