Highest Common Factor of 3904, 8548 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 3904, 8548 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3904, 8548 is 4 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 3904, 8548 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 3904, 8548 is 4.
HCF(3904, 8548) = 4
HCF of 3904, 8548 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3904, 8548 is 4.
Highest Common Factor of 3904,8548 is 4
Step 1: Since 8548 > 3904, we apply the division lemma to 8548 and 3904, to get
8548 = 3904 x 2 + 740
Step 2: Since the reminder 3904 ≠ 0, we apply division lemma to 740 and 3904, to get
3904 = 740 x 5 + 204
Step 3: We consider the new divisor 740 and the new remainder 204, and apply the division lemma to get
740 = 204 x 3 + 128
We consider the new divisor 204 and the new remainder 128,and apply the division lemma to get
204 = 128 x 1 + 76
We consider the new divisor 128 and the new remainder 76,and apply the division lemma to get
128 = 76 x 1 + 52
We consider the new divisor 76 and the new remainder 52,and apply the division lemma to get
76 = 52 x 1 + 24
We consider the new divisor 52 and the new remainder 24,and apply the division lemma to get
52 = 24 x 2 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3904 and 8548 is 4
Notice that 4 = HCF(24,4) = HCF(52,24) = HCF(76,52) = HCF(128,76) = HCF(204,128) = HCF(740,204) = HCF(3904,740) = HCF(8548,3904) .
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Frequently Asked Questions on HCF of 3904, 8548 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 3904, 8548?
Answer: HCF of 3904, 8548 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3904, 8548 using Euclid's Algorithm?
Answer: For arbitrary numbers 3904, 8548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.