Highest Common Factor of 772, 53834 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 772, 53834 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 772, 53834 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 772, 53834 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 772, 53834 is 2.
HCF(772, 53834) = 2
HCF of 772, 53834 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 772, 53834 is 2.
Highest Common Factor of 772,53834 is 2
Step 1: Since 53834 > 772, we apply the division lemma to 53834 and 772, to get
53834 = 772 x 69 + 566
Step 2: Since the reminder 772 ≠ 0, we apply division lemma to 566 and 772, to get
772 = 566 x 1 + 206
Step 3: We consider the new divisor 566 and the new remainder 206, and apply the division lemma to get
566 = 206 x 2 + 154
We consider the new divisor 206 and the new remainder 154,and apply the division lemma to get
206 = 154 x 1 + 52
We consider the new divisor 154 and the new remainder 52,and apply the division lemma to get
154 = 52 x 2 + 50
We consider the new divisor 52 and the new remainder 50,and apply the division lemma to get
52 = 50 x 1 + 2
We consider the new divisor 50 and the new remainder 2,and apply the division lemma to get
50 = 2 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 772 and 53834 is 2
Notice that 2 = HCF(50,2) = HCF(52,50) = HCF(154,52) = HCF(206,154) = HCF(566,206) = HCF(772,566) = HCF(53834,772) .
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Frequently Asked Questions on HCF of 772, 53834 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 772, 53834?
Answer: HCF of 772, 53834 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 772, 53834 using Euclid's Algorithm?
Answer: For arbitrary numbers 772, 53834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
