Highest Common Factor of 3269, 4648 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 3269, 4648 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 3269, 4648 is 7 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 3269, 4648 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 3269, 4648 is 7.
HCF(3269, 4648) = 7
HCF of 3269, 4648 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3269, 4648 is 7.
Highest Common Factor of 3269,4648 is 7
Step 1: Since 4648 > 3269, we apply the division lemma to 4648 and 3269, to get
4648 = 3269 x 1 + 1379
Step 2: Since the reminder 3269 ≠ 0, we apply division lemma to 1379 and 3269, to get
3269 = 1379 x 2 + 511
Step 3: We consider the new divisor 1379 and the new remainder 511, and apply the division lemma to get
1379 = 511 x 2 + 357
We consider the new divisor 511 and the new remainder 357,and apply the division lemma to get
511 = 357 x 1 + 154
We consider the new divisor 357 and the new remainder 154,and apply the division lemma to get
357 = 154 x 2 + 49
We consider the new divisor 154 and the new remainder 49,and apply the division lemma to get
154 = 49 x 3 + 7
We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get
49 = 7 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3269 and 4648 is 7
Notice that 7 = HCF(49,7) = HCF(154,49) = HCF(357,154) = HCF(511,357) = HCF(1379,511) = HCF(3269,1379) = HCF(4648,3269) .
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Frequently Asked Questions on HCF of 3269, 4648 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 3269, 4648?
Answer: HCF of 3269, 4648 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3269, 4648 using Euclid's Algorithm?
Answer: For arbitrary numbers 3269, 4648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.