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 294, 4354 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 294, 4354 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 294, 4354 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 294, 4354 is 14.
HCF(294, 4354) = 14
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 294, 4354 is 14.
Step 1: Since 4354 > 294, we apply the division lemma to 4354 and 294, to get
4354 = 294 x 14 + 238
Step 2: Since the reminder 294 ≠ 0, we apply division lemma to 238 and 294, to get
294 = 238 x 1 + 56
Step 3: We consider the new divisor 238 and the new remainder 56, and apply the division lemma to get
238 = 56 x 4 + 14
We consider the new divisor 56 and the new remainder 14, and apply the division lemma to get
56 = 14 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 294 and 4354 is 14
Notice that 14 = HCF(56,14) = HCF(238,56) = HCF(294,238) = HCF(4354,294) .
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 294, 4354?
Answer: HCF of 294, 4354 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 294, 4354 using Euclid's Algorithm?
Answer: For arbitrary numbers 294, 4354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.