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 350, 294 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 350, 294 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 350, 294 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 350, 294 is 14.
HCF(350, 294) = 14
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 350, 294 is 14.
Step 1: Since 350 > 294, we apply the division lemma to 350 and 294, to get
350 = 294 x 1 + 56
Step 2: Since the reminder 294 ≠ 0, we apply division lemma to 56 and 294, to get
294 = 56 x 5 + 14
Step 3: 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 350 and 294 is 14
Notice that 14 = HCF(56,14) = HCF(294,56) = HCF(350,294) .
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 350, 294?
Answer: HCF of 350, 294 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 350, 294 using Euclid's Algorithm?
Answer: For arbitrary numbers 350, 294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.