Highest Common Factor of 930, 76826 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 930, 76826 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 930, 76826 is 2 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 930, 76826 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 930, 76826 is 2.
HCF(930, 76826) = 2
HCF of 930, 76826 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 930, 76826 is 2.
Highest Common Factor of 930,76826 is 2
Step 1: Since 76826 > 930, we apply the division lemma to 76826 and 930, to get
76826 = 930 x 82 + 566
Step 2: Since the reminder 930 ≠ 0, we apply division lemma to 566 and 930, to get
930 = 566 x 1 + 364
Step 3: We consider the new divisor 566 and the new remainder 364, and apply the division lemma to get
566 = 364 x 1 + 202
We consider the new divisor 364 and the new remainder 202,and apply the division lemma to get
364 = 202 x 1 + 162
We consider the new divisor 202 and the new remainder 162,and apply the division lemma to get
202 = 162 x 1 + 40
We consider the new divisor 162 and the new remainder 40,and apply the division lemma to get
162 = 40 x 4 + 2
We consider the new divisor 40 and the new remainder 2,and apply the division lemma to get
40 = 2 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 930 and 76826 is 2
Notice that 2 = HCF(40,2) = HCF(162,40) = HCF(202,162) = HCF(364,202) = HCF(566,364) = HCF(930,566) = HCF(76826,930) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 930, 76826 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 930, 76826?
Answer: HCF of 930, 76826 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 930, 76826 using Euclid's Algorithm?
Answer: For arbitrary numbers 930, 76826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.