Highest Common Factor of 912, 4826 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 912, 4826 i.e. 38 the largest integer that leaves a remainder zero for all numbers.
HCF of 912, 4826 is 38 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 912, 4826 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 912, 4826 is 38.
HCF(912, 4826) = 38
HCF of 912, 4826 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 912, 4826 is 38.
Highest Common Factor of 912,4826 is 38
Step 1: Since 4826 > 912, we apply the division lemma to 4826 and 912, to get
4826 = 912 x 5 + 266
Step 2: Since the reminder 912 ≠ 0, we apply division lemma to 266 and 912, to get
912 = 266 x 3 + 114
Step 3: We consider the new divisor 266 and the new remainder 114, and apply the division lemma to get
266 = 114 x 2 + 38
We consider the new divisor 114 and the new remainder 38, and apply the division lemma to get
114 = 38 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 38, the HCF of 912 and 4826 is 38
Notice that 38 = HCF(114,38) = HCF(266,114) = HCF(912,266) = HCF(4826,912) .
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Frequently Asked Questions on HCF of 912, 4826 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 912, 4826?
Answer: HCF of 912, 4826 is 38 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 912, 4826 using Euclid's Algorithm?
Answer: For arbitrary numbers 912, 4826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.