Highest Common Factor of 783, 65725 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 783, 65725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 783, 65725 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 783, 65725 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 783, 65725 is 1.
HCF(783, 65725) = 1
HCF of 783, 65725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 783, 65725 is 1.
Highest Common Factor of 783,65725 is 1
Step 1: Since 65725 > 783, we apply the division lemma to 65725 and 783, to get
65725 = 783 x 83 + 736
Step 2: Since the reminder 783 ≠ 0, we apply division lemma to 736 and 783, to get
783 = 736 x 1 + 47
Step 3: We consider the new divisor 736 and the new remainder 47, and apply the division lemma to get
736 = 47 x 15 + 31
We consider the new divisor 47 and the new remainder 31,and apply the division lemma to get
47 = 31 x 1 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 783 and 65725 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(47,31) = HCF(736,47) = HCF(783,736) = HCF(65725,783) .
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Frequently Asked Questions on HCF of 783, 65725 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 783, 65725?
Answer: HCF of 783, 65725 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 783, 65725 using Euclid's Algorithm?
Answer: For arbitrary numbers 783, 65725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
