Highest Common Factor of 3384, 4985 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 3384, 4985 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3384, 4985 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 3384, 4985 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 3384, 4985 is 1.
HCF(3384, 4985) = 1
HCF of 3384, 4985 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3384, 4985 is 1.
Highest Common Factor of 3384,4985 is 1
Step 1: Since 4985 > 3384, we apply the division lemma to 4985 and 3384, to get
4985 = 3384 x 1 + 1601
Step 2: Since the reminder 3384 ≠ 0, we apply division lemma to 1601 and 3384, to get
3384 = 1601 x 2 + 182
Step 3: We consider the new divisor 1601 and the new remainder 182, and apply the division lemma to get
1601 = 182 x 8 + 145
We consider the new divisor 182 and the new remainder 145,and apply the division lemma to get
182 = 145 x 1 + 37
We consider the new divisor 145 and the new remainder 37,and apply the division lemma to get
145 = 37 x 3 + 34
We consider the new divisor 37 and the new remainder 34,and apply the division lemma to get
37 = 34 x 1 + 3
We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get
34 = 3 x 11 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3384 and 4985 is 1
Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(145,37) = HCF(182,145) = HCF(1601,182) = HCF(3384,1601) = HCF(4985,3384) .
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Frequently Asked Questions on HCF of 3384, 4985 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 3384, 4985?
Answer: HCF of 3384, 4985 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3384, 4985 using Euclid's Algorithm?
Answer: For arbitrary numbers 3384, 4985 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.