Highest Common Factor of 245, 931, 449 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 245, 931, 449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 245, 931, 449 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, 931, 449 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, 931, 449 is 1.
HCF(245, 931, 449) = 1
HCF of 245, 931, 449 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 245, 931, 449 is 1.
Highest Common Factor of 245,931,449 is 1
Step 1: Since 931 > 245, we apply the division lemma to 931 and 245, to get
931 = 245 x 3 + 196
Step 2: Since the reminder 245 ≠ 0, we apply division lemma to 196 and 245, to get
245 = 196 x 1 + 49
Step 3: We consider the new divisor 196 and the new remainder 49, and apply the division lemma to get
196 = 49 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 49, the HCF of 245 and 931 is 49
Notice that 49 = HCF(196,49) = HCF(245,196) = HCF(931,245) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 449 > 49, we apply the division lemma to 449 and 49, to get
449 = 49 x 9 + 8
Step 2: Since the reminder 49 ≠ 0, we apply division lemma to 8 and 49, to get
49 = 8 x 6 + 1
Step 3: We consider the new divisor 8 and the new remainder 1, and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 49 and 449 is 1
Notice that 1 = HCF(8,1) = HCF(49,8) = HCF(449,49) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 245, 931, 449 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 245, 931, 449?
Answer: HCF of 245, 931, 449 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 245, 931, 449 using Euclid's Algorithm?
Answer: For arbitrary numbers 245, 931, 449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.