Highest Common Factor of 3207, 4550 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 3207, 4550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3207, 4550 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 3207, 4550 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 3207, 4550 is 1.
HCF(3207, 4550) = 1
HCF of 3207, 4550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3207, 4550 is 1.
Highest Common Factor of 3207,4550 is 1
Step 1: Since 4550 > 3207, we apply the division lemma to 4550 and 3207, to get
4550 = 3207 x 1 + 1343
Step 2: Since the reminder 3207 ≠ 0, we apply division lemma to 1343 and 3207, to get
3207 = 1343 x 2 + 521
Step 3: We consider the new divisor 1343 and the new remainder 521, and apply the division lemma to get
1343 = 521 x 2 + 301
We consider the new divisor 521 and the new remainder 301,and apply the division lemma to get
521 = 301 x 1 + 220
We consider the new divisor 301 and the new remainder 220,and apply the division lemma to get
301 = 220 x 1 + 81
We consider the new divisor 220 and the new remainder 81,and apply the division lemma to get
220 = 81 x 2 + 58
We consider the new divisor 81 and the new remainder 58,and apply the division lemma to get
81 = 58 x 1 + 23
We consider the new divisor 58 and the new remainder 23,and apply the division lemma to get
58 = 23 x 2 + 12
We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get
23 = 12 x 1 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3207 and 4550 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(58,23) = HCF(81,58) = HCF(220,81) = HCF(301,220) = HCF(521,301) = HCF(1343,521) = HCF(3207,1343) = HCF(4550,3207) .
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Frequently Asked Questions on HCF of 3207, 4550 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 3207, 4550?
Answer: HCF of 3207, 4550 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3207, 4550 using Euclid's Algorithm?
Answer: For arbitrary numbers 3207, 4550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
