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 96, 312 i.e. 24 the largest integer that leaves a remainder zero for all numbers.
HCF of 96, 312 is 24 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 96, 312 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 96, 312 is 24.
HCF(96, 312) = 24
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 96, 312 is 24.
Step 1: Since 312 > 96, we apply the division lemma to 312 and 96, to get
312 = 96 x 3 + 24
Step 2: Since the reminder 96 ≠ 0, we apply division lemma to 24 and 96, to get
96 = 24 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 96 and 312 is 24
Notice that 24 = HCF(96,24) = HCF(312,96) .
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 96, 312?
Answer: HCF of 96, 312 is 24 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 96, 312 using Euclid's Algorithm?
Answer: For arbitrary numbers 96, 312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.