Highest Common Factor of 489, 783, 169, 242 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 489, 783, 169, 242 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 489, 783, 169, 242 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 489, 783, 169, 242 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 489, 783, 169, 242 is 1.
HCF(489, 783, 169, 242) = 1
HCF of 489, 783, 169, 242 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 489, 783, 169, 242 is 1.
Highest Common Factor of 489,783,169,242 is 1
Step 1: Since 783 > 489, we apply the division lemma to 783 and 489, to get
783 = 489 x 1 + 294
Step 2: Since the reminder 489 ≠ 0, we apply division lemma to 294 and 489, to get
489 = 294 x 1 + 195
Step 3: We consider the new divisor 294 and the new remainder 195, and apply the division lemma to get
294 = 195 x 1 + 99
We consider the new divisor 195 and the new remainder 99,and apply the division lemma to get
195 = 99 x 1 + 96
We consider the new divisor 99 and the new remainder 96,and apply the division lemma to get
99 = 96 x 1 + 3
We consider the new divisor 96 and the new remainder 3,and apply the division lemma to get
96 = 3 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 489 and 783 is 3
Notice that 3 = HCF(96,3) = HCF(99,96) = HCF(195,99) = HCF(294,195) = HCF(489,294) = HCF(783,489) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 169 > 3, we apply the division lemma to 169 and 3, to get
169 = 3 x 56 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 169 is 1
Notice that 1 = HCF(3,1) = HCF(169,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 242 > 1, we apply the division lemma to 242 and 1, to get
242 = 1 x 242 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 242 is 1
Notice that 1 = HCF(242,1) .
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Frequently Asked Questions on HCF of 489, 783, 169, 242 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 489, 783, 169, 242?
Answer: HCF of 489, 783, 169, 242 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 489, 783, 169, 242 using Euclid's Algorithm?
Answer: For arbitrary numbers 489, 783, 169, 242 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.