Highest Common Factor of 3548, 8418 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 3548, 8418 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3548, 8418 is 2 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 3548, 8418 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 3548, 8418 is 2.
HCF(3548, 8418) = 2
HCF of 3548, 8418 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3548, 8418 is 2.
Highest Common Factor of 3548,8418 is 2
Step 1: Since 8418 > 3548, we apply the division lemma to 8418 and 3548, to get
8418 = 3548 x 2 + 1322
Step 2: Since the reminder 3548 ≠ 0, we apply division lemma to 1322 and 3548, to get
3548 = 1322 x 2 + 904
Step 3: We consider the new divisor 1322 and the new remainder 904, and apply the division lemma to get
1322 = 904 x 1 + 418
We consider the new divisor 904 and the new remainder 418,and apply the division lemma to get
904 = 418 x 2 + 68
We consider the new divisor 418 and the new remainder 68,and apply the division lemma to get
418 = 68 x 6 + 10
We consider the new divisor 68 and the new remainder 10,and apply the division lemma to get
68 = 10 x 6 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3548 and 8418 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(68,10) = HCF(418,68) = HCF(904,418) = HCF(1322,904) = HCF(3548,1322) = HCF(8418,3548) .
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Frequently Asked Questions on HCF of 3548, 8418 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 3548, 8418?
Answer: HCF of 3548, 8418 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3548, 8418 using Euclid's Algorithm?
Answer: For arbitrary numbers 3548, 8418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.