Highest Common Factor of 234, 609, 557, 279 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 234, 609, 557, 279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 234, 609, 557, 279 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 234, 609, 557, 279 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 234, 609, 557, 279 is 1.
HCF(234, 609, 557, 279) = 1
HCF of 234, 609, 557, 279 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 234, 609, 557, 279 is 1.
Highest Common Factor of 234,609,557,279 is 1
Step 1: Since 609 > 234, we apply the division lemma to 609 and 234, to get
609 = 234 x 2 + 141
Step 2: Since the reminder 234 ≠ 0, we apply division lemma to 141 and 234, to get
234 = 141 x 1 + 93
Step 3: We consider the new divisor 141 and the new remainder 93, and apply the division lemma to get
141 = 93 x 1 + 48
We consider the new divisor 93 and the new remainder 48,and apply the division lemma to get
93 = 48 x 1 + 45
We consider the new divisor 48 and the new remainder 45,and apply the division lemma to get
48 = 45 x 1 + 3
We consider the new divisor 45 and the new remainder 3,and apply the division lemma to get
45 = 3 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 234 and 609 is 3
Notice that 3 = HCF(45,3) = HCF(48,45) = HCF(93,48) = HCF(141,93) = HCF(234,141) = HCF(609,234) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 557 > 3, we apply the division lemma to 557 and 3, to get
557 = 3 x 185 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 557 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(557,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 279 > 1, we apply the division lemma to 279 and 1, to get
279 = 1 x 279 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 279 is 1
Notice that 1 = HCF(279,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 234, 609, 557, 279 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 234, 609, 557, 279?
Answer: HCF of 234, 609, 557, 279 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 234, 609, 557, 279 using Euclid's Algorithm?
Answer: For arbitrary numbers 234, 609, 557, 279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.