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 607, 990, 796 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 607, 990, 796 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 607, 990, 796 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 607, 990, 796 is 1.
HCF(607, 990, 796) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 607, 990, 796 is 1.
Step 1: Since 990 > 607, we apply the division lemma to 990 and 607, to get
990 = 607 x 1 + 383
Step 2: Since the reminder 607 ≠ 0, we apply division lemma to 383 and 607, to get
607 = 383 x 1 + 224
Step 3: We consider the new divisor 383 and the new remainder 224, and apply the division lemma to get
383 = 224 x 1 + 159
We consider the new divisor 224 and the new remainder 159,and apply the division lemma to get
224 = 159 x 1 + 65
We consider the new divisor 159 and the new remainder 65,and apply the division lemma to get
159 = 65 x 2 + 29
We consider the new divisor 65 and the new remainder 29,and apply the division lemma to get
65 = 29 x 2 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 607 and 990 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(65,29) = HCF(159,65) = HCF(224,159) = HCF(383,224) = HCF(607,383) = HCF(990,607) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 796 > 1, we apply the division lemma to 796 and 1, to get
796 = 1 x 796 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 796 is 1
Notice that 1 = HCF(796,1) .
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 607, 990, 796?
Answer: HCF of 607, 990, 796 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 607, 990, 796 using Euclid's Algorithm?
Answer: For arbitrary numbers 607, 990, 796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.