Highest Common Factor of 501, 813, 49 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 501, 813, 49 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 501, 813, 49 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 501, 813, 49 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 501, 813, 49 is 1.
HCF(501, 813, 49) = 1
HCF of 501, 813, 49 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 501, 813, 49 is 1.
Highest Common Factor of 501,813,49 is 1
Step 1: Since 813 > 501, we apply the division lemma to 813 and 501, to get
813 = 501 x 1 + 312
Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 312 and 501, to get
501 = 312 x 1 + 189
Step 3: We consider the new divisor 312 and the new remainder 189, and apply the division lemma to get
312 = 189 x 1 + 123
We consider the new divisor 189 and the new remainder 123,and apply the division lemma to get
189 = 123 x 1 + 66
We consider the new divisor 123 and the new remainder 66,and apply the division lemma to get
123 = 66 x 1 + 57
We consider the new divisor 66 and the new remainder 57,and apply the division lemma to get
66 = 57 x 1 + 9
We consider the new divisor 57 and the new remainder 9,and apply the division lemma to get
57 = 9 x 6 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 501 and 813 is 3
Notice that 3 = HCF(9,3) = HCF(57,9) = HCF(66,57) = HCF(123,66) = HCF(189,123) = HCF(312,189) = HCF(501,312) = HCF(813,501) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 49 > 3, we apply the division lemma to 49 and 3, to get
49 = 3 x 16 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 49 is 1
Notice that 1 = HCF(3,1) = HCF(49,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 501, 813, 49 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 501, 813, 49?
Answer: HCF of 501, 813, 49 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 501, 813, 49 using Euclid's Algorithm?
Answer: For arbitrary numbers 501, 813, 49 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.