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 245, 381, 982, 183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 245, 381, 982, 183 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 245, 381, 982, 183 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 245, 381, 982, 183 is 1.
HCF(245, 381, 982, 183) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 245, 381, 982, 183 is 1.
Step 1: Since 381 > 245, we apply the division lemma to 381 and 245, to get
381 = 245 x 1 + 136
Step 2: Since the reminder 245 ≠ 0, we apply division lemma to 136 and 245, to get
245 = 136 x 1 + 109
Step 3: We consider the new divisor 136 and the new remainder 109, and apply the division lemma to get
136 = 109 x 1 + 27
We consider the new divisor 109 and the new remainder 27,and apply the division lemma to get
109 = 27 x 4 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 245 and 381 is 1
Notice that 1 = HCF(27,1) = HCF(109,27) = HCF(136,109) = HCF(245,136) = HCF(381,245) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 982 > 1, we apply the division lemma to 982 and 1, to get
982 = 1 x 982 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 982 is 1
Notice that 1 = HCF(982,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 183 > 1, we apply the division lemma to 183 and 1, to get
183 = 1 x 183 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 183 is 1
Notice that 1 = HCF(183,1) .
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 245, 381, 982, 183?
Answer: HCF of 245, 381, 982, 183 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 245, 381, 982, 183 using Euclid's Algorithm?
Answer: For arbitrary numbers 245, 381, 982, 183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.