Highest Common Factor of 364, 912 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 364, 912 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 364, 912 is 4 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 364, 912 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 364, 912 is 4.
HCF(364, 912) = 4
HCF of 364, 912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 364, 912 is 4.
Highest Common Factor of 364,912 is 4
Step 1: Since 912 > 364, we apply the division lemma to 912 and 364, to get
912 = 364 x 2 + 184
Step 2: Since the reminder 364 ≠ 0, we apply division lemma to 184 and 364, to get
364 = 184 x 1 + 180
Step 3: We consider the new divisor 184 and the new remainder 180, and apply the division lemma to get
184 = 180 x 1 + 4
We consider the new divisor 180 and the new remainder 4, and apply the division lemma to get
180 = 4 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 364 and 912 is 4
Notice that 4 = HCF(180,4) = HCF(184,180) = HCF(364,184) = HCF(912,364) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 364, 912 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 364, 912?
Answer: HCF of 364, 912 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 364, 912 using Euclid's Algorithm?
Answer: For arbitrary numbers 364, 912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.