Highest Common Factor of 4169, 7484 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 4169, 7484 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4169, 7484 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 4169, 7484 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 4169, 7484 is 1.
HCF(4169, 7484) = 1
HCF of 4169, 7484 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4169, 7484 is 1.
Highest Common Factor of 4169,7484 is 1
Step 1: Since 7484 > 4169, we apply the division lemma to 7484 and 4169, to get
7484 = 4169 x 1 + 3315
Step 2: Since the reminder 4169 ≠ 0, we apply division lemma to 3315 and 4169, to get
4169 = 3315 x 1 + 854
Step 3: We consider the new divisor 3315 and the new remainder 854, and apply the division lemma to get
3315 = 854 x 3 + 753
We consider the new divisor 854 and the new remainder 753,and apply the division lemma to get
854 = 753 x 1 + 101
We consider the new divisor 753 and the new remainder 101,and apply the division lemma to get
753 = 101 x 7 + 46
We consider the new divisor 101 and the new remainder 46,and apply the division lemma to get
101 = 46 x 2 + 9
We consider the new divisor 46 and the new remainder 9,and apply the division lemma to get
46 = 9 x 5 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4169 and 7484 is 1
Notice that 1 = HCF(9,1) = HCF(46,9) = HCF(101,46) = HCF(753,101) = HCF(854,753) = HCF(3315,854) = HCF(4169,3315) = HCF(7484,4169) .
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Frequently Asked Questions on HCF of 4169, 7484 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 4169, 7484?
Answer: HCF of 4169, 7484 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4169, 7484 using Euclid's Algorithm?
Answer: For arbitrary numbers 4169, 7484 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.