Highest Common Factor of 704, 436, 632, 364 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 704, 436, 632, 364 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 704, 436, 632, 364 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 704, 436, 632, 364 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 704, 436, 632, 364 is 4.
HCF(704, 436, 632, 364) = 4
HCF of 704, 436, 632, 364 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 704, 436, 632, 364 is 4.
Highest Common Factor of 704,436,632,364 is 4
Step 1: Since 704 > 436, we apply the division lemma to 704 and 436, to get
704 = 436 x 1 + 268
Step 2: Since the reminder 436 ≠ 0, we apply division lemma to 268 and 436, to get
436 = 268 x 1 + 168
Step 3: We consider the new divisor 268 and the new remainder 168, and apply the division lemma to get
268 = 168 x 1 + 100
We consider the new divisor 168 and the new remainder 100,and apply the division lemma to get
168 = 100 x 1 + 68
We consider the new divisor 100 and the new remainder 68,and apply the division lemma to get
100 = 68 x 1 + 32
We consider the new divisor 68 and the new remainder 32,and apply the division lemma to get
68 = 32 x 2 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 704 and 436 is 4
Notice that 4 = HCF(32,4) = HCF(68,32) = HCF(100,68) = HCF(168,100) = HCF(268,168) = HCF(436,268) = HCF(704,436) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 632 > 4, we apply the division lemma to 632 and 4, to get
632 = 4 x 158 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 632 is 4
Notice that 4 = HCF(632,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 364 > 4, we apply the division lemma to 364 and 4, to get
364 = 4 x 91 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 364 is 4
Notice that 4 = HCF(364,4) .
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Frequently Asked Questions on HCF of 704, 436, 632, 364 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 704, 436, 632, 364?
Answer: HCF of 704, 436, 632, 364 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 704, 436, 632, 364 using Euclid's Algorithm?
Answer: For arbitrary numbers 704, 436, 632, 364 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.