Highest Common Factor of 540, 830, 507 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 540, 830, 507 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 540, 830, 507 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 540, 830, 507 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 540, 830, 507 is 1.
HCF(540, 830, 507) = 1
HCF of 540, 830, 507 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 540, 830, 507 is 1.
Highest Common Factor of 540,830,507 is 1
Step 1: Since 830 > 540, we apply the division lemma to 830 and 540, to get
830 = 540 x 1 + 290
Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 290 and 540, to get
540 = 290 x 1 + 250
Step 3: We consider the new divisor 290 and the new remainder 250, and apply the division lemma to get
290 = 250 x 1 + 40
We consider the new divisor 250 and the new remainder 40,and apply the division lemma to get
250 = 40 x 6 + 10
We consider the new divisor 40 and the new remainder 10,and apply the division lemma to get
40 = 10 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 540 and 830 is 10
Notice that 10 = HCF(40,10) = HCF(250,40) = HCF(290,250) = HCF(540,290) = HCF(830,540) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 507 > 10, we apply the division lemma to 507 and 10, to get
507 = 10 x 50 + 7
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 7 and 10, to get
10 = 7 x 1 + 3
Step 3: We consider the new divisor 7 and the new remainder 3, and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma 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 10 and 507 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(507,10) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 540, 830, 507 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 540, 830, 507?
Answer: HCF of 540, 830, 507 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 540, 830, 507 using Euclid's Algorithm?
Answer: For arbitrary numbers 540, 830, 507 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.