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 983, 293, 804 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 983, 293, 804 is 1 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 983, 293, 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 983, 293, 804 is 1.
HCF(983, 293, 804) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 983, 293, 804 is 1.
Step 1: Since 983 > 293, we apply the division lemma to 983 and 293, to get
983 = 293 x 3 + 104
Step 2: Since the reminder 293 ≠ 0, we apply division lemma to 104 and 293, to get
293 = 104 x 2 + 85
Step 3: We consider the new divisor 104 and the new remainder 85, and apply the division lemma to get
104 = 85 x 1 + 19
We consider the new divisor 85 and the new remainder 19,and apply the division lemma to get
85 = 19 x 4 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 983 and 293 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(85,19) = HCF(104,85) = HCF(293,104) = HCF(983,293) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 804 > 1, we apply the division lemma to 804 and 1, to get
804 = 1 x 804 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 804 is 1
Notice that 1 = HCF(804,1) .
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 983, 293, 804?
Answer: HCF of 983, 293, 804 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 983, 293, 804 using Euclid's Algorithm?
Answer: For arbitrary numbers 983, 293, 804 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.