Highest Common Factor of 89, 598, 654, 702 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 89, 598, 654, 702 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 89, 598, 654, 702 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 89, 598, 654, 702 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 89, 598, 654, 702 is 1.
HCF(89, 598, 654, 702) = 1
HCF of 89, 598, 654, 702 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 89, 598, 654, 702 is 1.
Highest Common Factor of 89,598,654,702 is 1
Step 1: Since 598 > 89, we apply the division lemma to 598 and 89, to get
598 = 89 x 6 + 64
Step 2: Since the reminder 89 ≠ 0, we apply division lemma to 64 and 89, to get
89 = 64 x 1 + 25
Step 3: We consider the new divisor 64 and the new remainder 25, and apply the division lemma to get
64 = 25 x 2 + 14
We consider the new divisor 25 and the new remainder 14,and apply the division lemma to get
25 = 14 x 1 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 89 and 598 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(64,25) = HCF(89,64) = HCF(598,89) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 654 > 1, we apply the division lemma to 654 and 1, to get
654 = 1 x 654 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 654 is 1
Notice that 1 = HCF(654,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 702 > 1, we apply the division lemma to 702 and 1, to get
702 = 1 x 702 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 702 is 1
Notice that 1 = HCF(702,1) .
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Frequently Asked Questions on HCF of 89, 598, 654, 702 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 89, 598, 654, 702?
Answer: HCF of 89, 598, 654, 702 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 89, 598, 654, 702 using Euclid's Algorithm?
Answer: For arbitrary numbers 89, 598, 654, 702 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.