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 984, 74141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 984, 74141 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 984, 74141 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 984, 74141 is 1.
HCF(984, 74141) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 984, 74141 is 1.
Step 1: Since 74141 > 984, we apply the division lemma to 74141 and 984, to get
74141 = 984 x 75 + 341
Step 2: Since the reminder 984 ≠ 0, we apply division lemma to 341 and 984, to get
984 = 341 x 2 + 302
Step 3: We consider the new divisor 341 and the new remainder 302, and apply the division lemma to get
341 = 302 x 1 + 39
We consider the new divisor 302 and the new remainder 39,and apply the division lemma to get
302 = 39 x 7 + 29
We consider the new divisor 39 and the new remainder 29,and apply the division lemma to get
39 = 29 x 1 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 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 984 and 74141 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(39,29) = HCF(302,39) = HCF(341,302) = HCF(984,341) = HCF(74141,984) .
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 984, 74141?
Answer: HCF of 984, 74141 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 984, 74141 using Euclid's Algorithm?
Answer: For arbitrary numbers 984, 74141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.