Highest Common Factor of 786, 57150 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 786, 57150 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 786, 57150 is 6 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 786, 57150 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 786, 57150 is 6.
HCF(786, 57150) = 6
HCF of 786, 57150 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 786, 57150 is 6.
Highest Common Factor of 786,57150 is 6
Step 1: Since 57150 > 786, we apply the division lemma to 57150 and 786, to get
57150 = 786 x 72 + 558
Step 2: Since the reminder 786 ≠ 0, we apply division lemma to 558 and 786, to get
786 = 558 x 1 + 228
Step 3: We consider the new divisor 558 and the new remainder 228, and apply the division lemma to get
558 = 228 x 2 + 102
We consider the new divisor 228 and the new remainder 102,and apply the division lemma to get
228 = 102 x 2 + 24
We consider the new divisor 102 and the new remainder 24,and apply the division lemma to get
102 = 24 x 4 + 6
We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 786 and 57150 is 6
Notice that 6 = HCF(24,6) = HCF(102,24) = HCF(228,102) = HCF(558,228) = HCF(786,558) = HCF(57150,786) .
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Frequently Asked Questions on HCF of 786, 57150 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 786, 57150?
Answer: HCF of 786, 57150 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 786, 57150 using Euclid's Algorithm?
Answer: For arbitrary numbers 786, 57150 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
