Highest Common Factor of 804, 628 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, 628 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 804, 628 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, 628 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, 628 is 4.
HCF(804, 628) = 4
HCF of 804, 628 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, 628 is 4.
Highest Common Factor of 804,628 is 4
Step 1: Since 804 > 628, we apply the division lemma to 804 and 628, to get
804 = 628 x 1 + 176
Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 176 and 628, to get
628 = 176 x 3 + 100
Step 3: We consider the new divisor 176 and the new remainder 100, and apply the division lemma to get
176 = 100 x 1 + 76
We consider the new divisor 100 and the new remainder 76,and apply the division lemma to get
100 = 76 x 1 + 24
We consider the new divisor 76 and the new remainder 24,and apply the division lemma to get
76 = 24 x 3 + 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 804 and 628 is 4
Notice that 4 = HCF(24,4) = HCF(76,24) = HCF(100,76) = HCF(176,100) = HCF(628,176) = HCF(804,628) .
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Frequently Asked Questions on HCF of 804, 628 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, 628?
Answer: HCF of 804, 628 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 804, 628 using Euclid's Algorithm?
Answer: For arbitrary numbers 804, 628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.