Highest Common Factor of 6104, 8404 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 6104, 8404 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6104, 8404 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 6104, 8404 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 6104, 8404 is 4.
HCF(6104, 8404) = 4
HCF of 6104, 8404 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6104, 8404 is 4.
Highest Common Factor of 6104,8404 is 4
Step 1: Since 8404 > 6104, we apply the division lemma to 8404 and 6104, to get
8404 = 6104 x 1 + 2300
Step 2: Since the reminder 6104 ≠ 0, we apply division lemma to 2300 and 6104, to get
6104 = 2300 x 2 + 1504
Step 3: We consider the new divisor 2300 and the new remainder 1504, and apply the division lemma to get
2300 = 1504 x 1 + 796
We consider the new divisor 1504 and the new remainder 796,and apply the division lemma to get
1504 = 796 x 1 + 708
We consider the new divisor 796 and the new remainder 708,and apply the division lemma to get
796 = 708 x 1 + 88
We consider the new divisor 708 and the new remainder 88,and apply the division lemma to get
708 = 88 x 8 + 4
We consider the new divisor 88 and the new remainder 4,and apply the division lemma to get
88 = 4 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6104 and 8404 is 4
Notice that 4 = HCF(88,4) = HCF(708,88) = HCF(796,708) = HCF(1504,796) = HCF(2300,1504) = HCF(6104,2300) = HCF(8404,6104) .
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Frequently Asked Questions on HCF of 6104, 8404 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 6104, 8404?
Answer: HCF of 6104, 8404 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6104, 8404 using Euclid's Algorithm?
Answer: For arbitrary numbers 6104, 8404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.