Highest Common Factor of 719, 53050 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 719, 53050 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 719, 53050 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 719, 53050 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 719, 53050 is 1.
HCF(719, 53050) = 1
HCF of 719, 53050 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 719, 53050 is 1.
Highest Common Factor of 719,53050 is 1
Step 1: Since 53050 > 719, we apply the division lemma to 53050 and 719, to get
53050 = 719 x 73 + 563
Step 2: Since the reminder 719 ≠ 0, we apply division lemma to 563 and 719, to get
719 = 563 x 1 + 156
Step 3: We consider the new divisor 563 and the new remainder 156, and apply the division lemma to get
563 = 156 x 3 + 95
We consider the new divisor 156 and the new remainder 95,and apply the division lemma to get
156 = 95 x 1 + 61
We consider the new divisor 95 and the new remainder 61,and apply the division lemma to get
95 = 61 x 1 + 34
We consider the new divisor 61 and the new remainder 34,and apply the division lemma to get
61 = 34 x 1 + 27
We consider the new divisor 34 and the new remainder 27,and apply the division lemma to get
34 = 27 x 1 + 7
We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get
27 = 7 x 3 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 719 and 53050 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(34,27) = HCF(61,34) = HCF(95,61) = HCF(156,95) = HCF(563,156) = HCF(719,563) = HCF(53050,719) .
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Frequently Asked Questions on HCF of 719, 53050 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 719, 53050?
Answer: HCF of 719, 53050 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 719, 53050 using Euclid's Algorithm?
Answer: For arbitrary numbers 719, 53050 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.