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 456, 694 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 456, 694 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 456, 694 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 456, 694 is 2.
HCF(456, 694) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 456, 694 is 2.
Step 1: Since 694 > 456, we apply the division lemma to 694 and 456, to get
694 = 456 x 1 + 238
Step 2: Since the reminder 456 ≠ 0, we apply division lemma to 238 and 456, to get
456 = 238 x 1 + 218
Step 3: We consider the new divisor 238 and the new remainder 218, and apply the division lemma to get
238 = 218 x 1 + 20
We consider the new divisor 218 and the new remainder 20,and apply the division lemma to get
218 = 20 x 10 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 456 and 694 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(218,20) = HCF(238,218) = HCF(456,238) = HCF(694,456) .
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 456, 694?
Answer: HCF of 456, 694 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 456, 694 using Euclid's Algorithm?
Answer: For arbitrary numbers 456, 694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.