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 616, 322 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 322 is 14 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 616, 322 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 616, 322 is 14.
HCF(616, 322) = 14
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 616, 322 is 14.
Step 1: Since 616 > 322, we apply the division lemma to 616 and 322, to get
616 = 322 x 1 + 294
Step 2: Since the reminder 322 ≠ 0, we apply division lemma to 294 and 322, to get
322 = 294 x 1 + 28
Step 3: We consider the new divisor 294 and the new remainder 28, and apply the division lemma to get
294 = 28 x 10 + 14
We consider the new divisor 28 and the new remainder 14, and apply the division lemma to get
28 = 14 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 616 and 322 is 14
Notice that 14 = HCF(28,14) = HCF(294,28) = HCF(322,294) = HCF(616,322) .
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 616, 322?
Answer: HCF of 616, 322 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 322 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 322 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.