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 494, 804 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 494, 804 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 494, 804 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 494, 804 is 2.
HCF(494, 804) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 494, 804 is 2.
Step 1: Since 804 > 494, we apply the division lemma to 804 and 494, to get
804 = 494 x 1 + 310
Step 2: Since the reminder 494 ≠ 0, we apply division lemma to 310 and 494, to get
494 = 310 x 1 + 184
Step 3: We consider the new divisor 310 and the new remainder 184, and apply the division lemma to get
310 = 184 x 1 + 126
We consider the new divisor 184 and the new remainder 126,and apply the division lemma to get
184 = 126 x 1 + 58
We consider the new divisor 126 and the new remainder 58,and apply the division lemma to get
126 = 58 x 2 + 10
We consider the new divisor 58 and the new remainder 10,and apply the division lemma to get
58 = 10 x 5 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 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 494 and 804 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(58,10) = HCF(126,58) = HCF(184,126) = HCF(310,184) = HCF(494,310) = HCF(804,494) .
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 494, 804?
Answer: HCF of 494, 804 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 494, 804 using Euclid's Algorithm?
Answer: For arbitrary numbers 494, 804 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.