Highest Common Factor of 224, 623, 598, 89 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 224, 623, 598, 89 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 224, 623, 598, 89 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 224, 623, 598, 89 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 224, 623, 598, 89 is 1.
HCF(224, 623, 598, 89) = 1
HCF of 224, 623, 598, 89 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 224, 623, 598, 89 is 1.
Highest Common Factor of 224,623,598,89 is 1
Step 1: Since 623 > 224, we apply the division lemma to 623 and 224, to get
623 = 224 x 2 + 175
Step 2: Since the reminder 224 ≠ 0, we apply division lemma to 175 and 224, to get
224 = 175 x 1 + 49
Step 3: We consider the new divisor 175 and the new remainder 49, and apply the division lemma to get
175 = 49 x 3 + 28
We consider the new divisor 49 and the new remainder 28,and apply the division lemma to get
49 = 28 x 1 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 224 and 623 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(49,28) = HCF(175,49) = HCF(224,175) = HCF(623,224) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 598 > 7, we apply the division lemma to 598 and 7, to get
598 = 7 x 85 + 3
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get
7 = 3 x 2 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 598 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(598,7) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 89 > 1, we apply the division lemma to 89 and 1, to get
89 = 1 x 89 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89 is 1
Notice that 1 = HCF(89,1) .
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Frequently Asked Questions on HCF of 224, 623, 598, 89 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 224, 623, 598, 89?
Answer: HCF of 224, 623, 598, 89 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 224, 623, 598, 89 using Euclid's Algorithm?
Answer: For arbitrary numbers 224, 623, 598, 89 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.