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 500, 791, 607, 495 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 500, 791, 607, 495 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 500, 791, 607, 495 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 500, 791, 607, 495 is 1.
HCF(500, 791, 607, 495) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 500, 791, 607, 495 is 1.
Step 1: Since 791 > 500, we apply the division lemma to 791 and 500, to get
791 = 500 x 1 + 291
Step 2: Since the reminder 500 ≠ 0, we apply division lemma to 291 and 500, to get
500 = 291 x 1 + 209
Step 3: We consider the new divisor 291 and the new remainder 209, and apply the division lemma to get
291 = 209 x 1 + 82
We consider the new divisor 209 and the new remainder 82,and apply the division lemma to get
209 = 82 x 2 + 45
We consider the new divisor 82 and the new remainder 45,and apply the division lemma to get
82 = 45 x 1 + 37
We consider the new divisor 45 and the new remainder 37,and apply the division lemma to get
45 = 37 x 1 + 8
We consider the new divisor 37 and the new remainder 8,and apply the division lemma to get
37 = 8 x 4 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 500 and 791 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(37,8) = HCF(45,37) = HCF(82,45) = HCF(209,82) = HCF(291,209) = HCF(500,291) = HCF(791,500) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 607 > 1, we apply the division lemma to 607 and 1, to get
607 = 1 x 607 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 607 is 1
Notice that 1 = HCF(607,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 495 > 1, we apply the division lemma to 495 and 1, to get
495 = 1 x 495 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 495 is 1
Notice that 1 = HCF(495,1) .
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 500, 791, 607, 495?
Answer: HCF of 500, 791, 607, 495 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 500, 791, 607, 495 using Euclid's Algorithm?
Answer: For arbitrary numbers 500, 791, 607, 495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.