Highest Common Factor of 4585, 7906 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 4585, 7906 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4585, 7906 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 4585, 7906 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 4585, 7906 is 1.
HCF(4585, 7906) = 1
HCF of 4585, 7906 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4585, 7906 is 1.
Highest Common Factor of 4585,7906 is 1
Step 1: Since 7906 > 4585, we apply the division lemma to 7906 and 4585, to get
7906 = 4585 x 1 + 3321
Step 2: Since the reminder 4585 ≠ 0, we apply division lemma to 3321 and 4585, to get
4585 = 3321 x 1 + 1264
Step 3: We consider the new divisor 3321 and the new remainder 1264, and apply the division lemma to get
3321 = 1264 x 2 + 793
We consider the new divisor 1264 and the new remainder 793,and apply the division lemma to get
1264 = 793 x 1 + 471
We consider the new divisor 793 and the new remainder 471,and apply the division lemma to get
793 = 471 x 1 + 322
We consider the new divisor 471 and the new remainder 322,and apply the division lemma to get
471 = 322 x 1 + 149
We consider the new divisor 322 and the new remainder 149,and apply the division lemma to get
322 = 149 x 2 + 24
We consider the new divisor 149 and the new remainder 24,and apply the division lemma to get
149 = 24 x 6 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 4585 and 7906 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(149,24) = HCF(322,149) = HCF(471,322) = HCF(793,471) = HCF(1264,793) = HCF(3321,1264) = HCF(4585,3321) = HCF(7906,4585) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4585, 7906 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 4585, 7906?
Answer: HCF of 4585, 7906 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4585, 7906 using Euclid's Algorithm?
Answer: For arbitrary numbers 4585, 7906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.