Highest Common Factor of 439, 801, 894, 548 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 439, 801, 894, 548 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 439, 801, 894, 548 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 439, 801, 894, 548 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 439, 801, 894, 548 is 1.
HCF(439, 801, 894, 548) = 1
HCF of 439, 801, 894, 548 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 439, 801, 894, 548 is 1.
Highest Common Factor of 439,801,894,548 is 1
Step 1: Since 801 > 439, we apply the division lemma to 801 and 439, to get
801 = 439 x 1 + 362
Step 2: Since the reminder 439 ≠ 0, we apply division lemma to 362 and 439, to get
439 = 362 x 1 + 77
Step 3: We consider the new divisor 362 and the new remainder 77, and apply the division lemma to get
362 = 77 x 4 + 54
We consider the new divisor 77 and the new remainder 54,and apply the division lemma to get
77 = 54 x 1 + 23
We consider the new divisor 54 and the new remainder 23,and apply the division lemma to get
54 = 23 x 2 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 439 and 801 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(54,23) = HCF(77,54) = HCF(362,77) = HCF(439,362) = HCF(801,439) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 894 > 1, we apply the division lemma to 894 and 1, to get
894 = 1 x 894 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 894 is 1
Notice that 1 = HCF(894,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 548 > 1, we apply the division lemma to 548 and 1, to get
548 = 1 x 548 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 548 is 1
Notice that 1 = HCF(548,1) .
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Frequently Asked Questions on HCF of 439, 801, 894, 548 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 439, 801, 894, 548?
Answer: HCF of 439, 801, 894, 548 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 439, 801, 894, 548 using Euclid's Algorithm?
Answer: For arbitrary numbers 439, 801, 894, 548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.