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 929, 786 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 929, 786 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 929, 786 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 929, 786 is 1.
HCF(929, 786) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 929, 786 is 1.
Step 1: Since 929 > 786, we apply the division lemma to 929 and 786, to get
929 = 786 x 1 + 143
Step 2: Since the reminder 786 ≠ 0, we apply division lemma to 143 and 786, to get
786 = 143 x 5 + 71
Step 3: We consider the new divisor 143 and the new remainder 71, and apply the division lemma to get
143 = 71 x 2 + 1
We consider the new divisor 71 and the new remainder 1, and apply the division lemma to get
71 = 1 x 71 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 929 and 786 is 1
Notice that 1 = HCF(71,1) = HCF(143,71) = HCF(786,143) = HCF(929,786) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 929, 786?
Answer: HCF of 929, 786 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 929, 786 using Euclid's Algorithm?
Answer: For arbitrary numbers 929, 786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.