Highest Common Factor of 834, 542, 264 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 834, 542, 264 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 834, 542, 264 is 2 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 834, 542, 264 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 834, 542, 264 is 2.
HCF(834, 542, 264) = 2
HCF of 834, 542, 264 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 834, 542, 264 is 2.
Highest Common Factor of 834,542,264 is 2
Step 1: Since 834 > 542, we apply the division lemma to 834 and 542, to get
834 = 542 x 1 + 292
Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 292 and 542, to get
542 = 292 x 1 + 250
Step 3: We consider the new divisor 292 and the new remainder 250, and apply the division lemma to get
292 = 250 x 1 + 42
We consider the new divisor 250 and the new remainder 42,and apply the division lemma to get
250 = 42 x 5 + 40
We consider the new divisor 42 and the new remainder 40,and apply the division lemma to get
42 = 40 x 1 + 2
We consider the new divisor 40 and the new remainder 2,and apply the division lemma to get
40 = 2 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 834 and 542 is 2
Notice that 2 = HCF(40,2) = HCF(42,40) = HCF(250,42) = HCF(292,250) = HCF(542,292) = HCF(834,542) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 264 > 2, we apply the division lemma to 264 and 2, to get
264 = 2 x 132 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 264 is 2
Notice that 2 = HCF(264,2) .
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Frequently Asked Questions on HCF of 834, 542, 264 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 834, 542, 264?
Answer: HCF of 834, 542, 264 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 834, 542, 264 using Euclid's Algorithm?
Answer: For arbitrary numbers 834, 542, 264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
