Highest Common Factor of 229, 840, 269, 792 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 229, 840, 269, 792 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 229, 840, 269, 792 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 229, 840, 269, 792 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 229, 840, 269, 792 is 1.
HCF(229, 840, 269, 792) = 1
HCF of 229, 840, 269, 792 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 229, 840, 269, 792 is 1.
Highest Common Factor of 229,840,269,792 is 1
Step 1: Since 840 > 229, we apply the division lemma to 840 and 229, to get
840 = 229 x 3 + 153
Step 2: Since the reminder 229 ≠ 0, we apply division lemma to 153 and 229, to get
229 = 153 x 1 + 76
Step 3: We consider the new divisor 153 and the new remainder 76, and apply the division lemma to get
153 = 76 x 2 + 1
We consider the new divisor 76 and the new remainder 1, and apply the division lemma to get
76 = 1 x 76 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 229 and 840 is 1
Notice that 1 = HCF(76,1) = HCF(153,76) = HCF(229,153) = HCF(840,229) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 269 > 1, we apply the division lemma to 269 and 1, to get
269 = 1 x 269 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 269 is 1
Notice that 1 = HCF(269,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 792 > 1, we apply the division lemma to 792 and 1, to get
792 = 1 x 792 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 792 is 1
Notice that 1 = HCF(792,1) .
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Frequently Asked Questions on HCF of 229, 840, 269, 792 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 229, 840, 269, 792?
Answer: HCF of 229, 840, 269, 792 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 229, 840, 269, 792 using Euclid's Algorithm?
Answer: For arbitrary numbers 229, 840, 269, 792 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.