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 192, 672 i.e. 96 the largest integer that leaves a remainder zero for all numbers.
HCF of 192, 672 is 96 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 192, 672 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 192, 672 is 96.
HCF(192, 672) = 96
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 192, 672 is 96.
Step 1: Since 672 > 192, we apply the division lemma to 672 and 192, to get
672 = 192 x 3 + 96
Step 2: Since the reminder 192 ≠ 0, we apply division lemma to 96 and 192, to get
192 = 96 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 96, the HCF of 192 and 672 is 96
Notice that 96 = HCF(192,96) = HCF(672,192) .
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 192, 672?
Answer: HCF of 192, 672 is 96 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 192, 672 using Euclid's Algorithm?
Answer: For arbitrary numbers 192, 672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.