Highest Common Factor of 982, 5050, 6153 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 982, 5050, 6153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 982, 5050, 6153 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 982, 5050, 6153 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 982, 5050, 6153 is 1.
HCF(982, 5050, 6153) = 1
HCF of 982, 5050, 6153 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 982, 5050, 6153 is 1.
Highest Common Factor of 982,5050,6153 is 1
Step 1: Since 5050 > 982, we apply the division lemma to 5050 and 982, to get
5050 = 982 x 5 + 140
Step 2: Since the reminder 982 ≠ 0, we apply division lemma to 140 and 982, to get
982 = 140 x 7 + 2
Step 3: We consider the new divisor 140 and the new remainder 2, and apply the division lemma to get
140 = 2 x 70 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 982 and 5050 is 2
Notice that 2 = HCF(140,2) = HCF(982,140) = HCF(5050,982) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6153 > 2, we apply the division lemma to 6153 and 2, to get
6153 = 2 x 3076 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 6153 is 1
Notice that 1 = HCF(2,1) = HCF(6153,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 982, 5050, 6153 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 982, 5050, 6153?
Answer: HCF of 982, 5050, 6153 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 982, 5050, 6153 using Euclid's Algorithm?
Answer: For arbitrary numbers 982, 5050, 6153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.