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 336, 89568 i.e. 48 the largest integer that leaves a remainder zero for all numbers.
HCF of 336, 89568 is 48 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 336, 89568 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 336, 89568 is 48.
HCF(336, 89568) = 48
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 336, 89568 is 48.
Step 1: Since 89568 > 336, we apply the division lemma to 89568 and 336, to get
89568 = 336 x 266 + 192
Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 192 and 336, to get
336 = 192 x 1 + 144
Step 3: We consider the new divisor 192 and the new remainder 144, and apply the division lemma to get
192 = 144 x 1 + 48
We consider the new divisor 144 and the new remainder 48, and apply the division lemma to get
144 = 48 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 48, the HCF of 336 and 89568 is 48
Notice that 48 = HCF(144,48) = HCF(192,144) = HCF(336,192) = HCF(89568,336) .
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 336, 89568?
Answer: HCF of 336, 89568 is 48 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 336, 89568 using Euclid's Algorithm?
Answer: For arbitrary numbers 336, 89568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.