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 614, 934, 96 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 614, 934, 96 is 2 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 614, 934, 96 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 614, 934, 96 is 2.
HCF(614, 934, 96) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 614, 934, 96 is 2.
Step 1: Since 934 > 614, we apply the division lemma to 934 and 614, to get
934 = 614 x 1 + 320
Step 2: Since the reminder 614 ≠ 0, we apply division lemma to 320 and 614, to get
614 = 320 x 1 + 294
Step 3: We consider the new divisor 320 and the new remainder 294, and apply the division lemma to get
320 = 294 x 1 + 26
We consider the new divisor 294 and the new remainder 26,and apply the division lemma to get
294 = 26 x 11 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 614 and 934 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(294,26) = HCF(320,294) = HCF(614,320) = HCF(934,614) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96 > 2, we apply the division lemma to 96 and 2, to get
96 = 2 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 96 is 2
Notice that 2 = HCF(96,2) .
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 614, 934, 96?
Answer: HCF of 614, 934, 96 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 614, 934, 96 using Euclid's Algorithm?
Answer: For arbitrary numbers 614, 934, 96 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.