Highest Common Factor of 804, 5408 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 804, 5408 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 804, 5408 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 804, 5408 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 804, 5408 is 4.
HCF(804, 5408) = 4
HCF of 804, 5408 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 804, 5408 is 4.
Highest Common Factor of 804,5408 is 4
Step 1: Since 5408 > 804, we apply the division lemma to 5408 and 804, to get
5408 = 804 x 6 + 584
Step 2: Since the reminder 804 ≠ 0, we apply division lemma to 584 and 804, to get
804 = 584 x 1 + 220
Step 3: We consider the new divisor 584 and the new remainder 220, and apply the division lemma to get
584 = 220 x 2 + 144
We consider the new divisor 220 and the new remainder 144,and apply the division lemma to get
220 = 144 x 1 + 76
We consider the new divisor 144 and the new remainder 76,and apply the division lemma to get
144 = 76 x 1 + 68
We consider the new divisor 76 and the new remainder 68,and apply the division lemma to get
76 = 68 x 1 + 8
We consider the new divisor 68 and the new remainder 8,and apply the division lemma to get
68 = 8 x 8 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 804 and 5408 is 4
Notice that 4 = HCF(8,4) = HCF(68,8) = HCF(76,68) = HCF(144,76) = HCF(220,144) = HCF(584,220) = HCF(804,584) = HCF(5408,804) .
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Frequently Asked Questions on HCF of 804, 5408 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 804, 5408?
Answer: HCF of 804, 5408 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 804, 5408 using Euclid's Algorithm?
Answer: For arbitrary numbers 804, 5408 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.