Highest Common Factor of 3848, 6549 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 3848, 6549 i.e. 37 the largest integer that leaves a remainder zero for all numbers.
HCF of 3848, 6549 is 37 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 3848, 6549 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 3848, 6549 is 37.
HCF(3848, 6549) = 37
HCF of 3848, 6549 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3848, 6549 is 37.
Highest Common Factor of 3848,6549 is 37
Step 1: Since 6549 > 3848, we apply the division lemma to 6549 and 3848, to get
6549 = 3848 x 1 + 2701
Step 2: Since the reminder 3848 ≠ 0, we apply division lemma to 2701 and 3848, to get
3848 = 2701 x 1 + 1147
Step 3: We consider the new divisor 2701 and the new remainder 1147, and apply the division lemma to get
2701 = 1147 x 2 + 407
We consider the new divisor 1147 and the new remainder 407,and apply the division lemma to get
1147 = 407 x 2 + 333
We consider the new divisor 407 and the new remainder 333,and apply the division lemma to get
407 = 333 x 1 + 74
We consider the new divisor 333 and the new remainder 74,and apply the division lemma to get
333 = 74 x 4 + 37
We consider the new divisor 74 and the new remainder 37,and apply the division lemma to get
74 = 37 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 3848 and 6549 is 37
Notice that 37 = HCF(74,37) = HCF(333,74) = HCF(407,333) = HCF(1147,407) = HCF(2701,1147) = HCF(3848,2701) = HCF(6549,3848) .
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Frequently Asked Questions on HCF of 3848, 6549 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 3848, 6549?
Answer: HCF of 3848, 6549 is 37 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3848, 6549 using Euclid's Algorithm?
Answer: For arbitrary numbers 3848, 6549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.