Highest Common Factor of 610, 894 using Euclid's algorithm
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 610, 894 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 610, 894 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 610, 894 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 610, 894 is 2.
HCF(610, 894) = 2
HCF of 610, 894 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 610, 894 is 2.
Highest Common Factor of 610,894 is 2
Step 1: Since 894 > 610, we apply the division lemma to 894 and 610, to get
894 = 610 x 1 + 284
Step 2: Since the reminder 610 ≠ 0, we apply division lemma to 284 and 610, to get
610 = 284 x 2 + 42
Step 3: We consider the new divisor 284 and the new remainder 42, and apply the division lemma to get
284 = 42 x 6 + 32
We consider the new divisor 42 and the new remainder 32,and apply the division lemma to get
42 = 32 x 1 + 10
We consider the new divisor 32 and the new remainder 10,and apply the division lemma to get
32 = 10 x 3 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 610 and 894 is 2
Notice that 2 = HCF(10,2) = HCF(32,10) = HCF(42,32) = HCF(284,42) = HCF(610,284) = HCF(894,610) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 610, 894 using Euclid's Algorithm
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 610, 894?
Answer: HCF of 610, 894 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 610, 894 using Euclid's Algorithm?
Answer: For arbitrary numbers 610, 894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
