Highest Common Factor of 804, 448, 646, 439 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, 448, 646, 439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 804, 448, 646, 439 is 1 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, 448, 646, 439 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, 448, 646, 439 is 1.
HCF(804, 448, 646, 439) = 1
HCF of 804, 448, 646, 439 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, 448, 646, 439 is 1.
Highest Common Factor of 804,448,646,439 is 1
Step 1: Since 804 > 448, we apply the division lemma to 804 and 448, to get
804 = 448 x 1 + 356
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 356 and 448, to get
448 = 356 x 1 + 92
Step 3: We consider the new divisor 356 and the new remainder 92, and apply the division lemma to get
356 = 92 x 3 + 80
We consider the new divisor 92 and the new remainder 80,and apply the division lemma to get
92 = 80 x 1 + 12
We consider the new divisor 80 and the new remainder 12,and apply the division lemma to get
80 = 12 x 6 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 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 448 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(80,12) = HCF(92,80) = HCF(356,92) = HCF(448,356) = HCF(804,448) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 646 > 4, we apply the division lemma to 646 and 4, to get
646 = 4 x 161 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 646 is 2
Notice that 2 = HCF(4,2) = HCF(646,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 439 > 2, we apply the division lemma to 439 and 2, to get
439 = 2 x 219 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 439 is 1
Notice that 1 = HCF(2,1) = HCF(439,2) .
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Frequently Asked Questions on HCF of 804, 448, 646, 439 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, 448, 646, 439?
Answer: HCF of 804, 448, 646, 439 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 804, 448, 646, 439 using Euclid's Algorithm?
Answer: For arbitrary numbers 804, 448, 646, 439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
