Highest Common Factor of 999, 764, 50 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 999, 764, 50 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 764, 50 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 999, 764, 50 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 999, 764, 50 is 1.
HCF(999, 764, 50) = 1
HCF of 999, 764, 50 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 999, 764, 50 is 1.
Highest Common Factor of 999,764,50 is 1
Step 1: Since 999 > 764, we apply the division lemma to 999 and 764, to get
999 = 764 x 1 + 235
Step 2: Since the reminder 764 ≠ 0, we apply division lemma to 235 and 764, to get
764 = 235 x 3 + 59
Step 3: We consider the new divisor 235 and the new remainder 59, and apply the division lemma to get
235 = 59 x 3 + 58
We consider the new divisor 59 and the new remainder 58,and apply the division lemma to get
59 = 58 x 1 + 1
We consider the new divisor 58 and the new remainder 1,and apply the division lemma to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 999 and 764 is 1
Notice that 1 = HCF(58,1) = HCF(59,58) = HCF(235,59) = HCF(764,235) = HCF(999,764) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 50 > 1, we apply the division lemma to 50 and 1, to get
50 = 1 x 50 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50 is 1
Notice that 1 = HCF(50,1) .
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Frequently Asked Questions on HCF of 999, 764, 50 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 999, 764, 50?
Answer: HCF of 999, 764, 50 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 764, 50 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 764, 50 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.