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 796, 549, 667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 796, 549, 667 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 796, 549, 667 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 796, 549, 667 is 1.
HCF(796, 549, 667) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 796, 549, 667 is 1.
Step 1: Since 796 > 549, we apply the division lemma to 796 and 549, to get
796 = 549 x 1 + 247
Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 247 and 549, to get
549 = 247 x 2 + 55
Step 3: We consider the new divisor 247 and the new remainder 55, and apply the division lemma to get
247 = 55 x 4 + 27
We consider the new divisor 55 and the new remainder 27,and apply the division lemma to get
55 = 27 x 2 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 796 and 549 is 1
Notice that 1 = HCF(27,1) = HCF(55,27) = HCF(247,55) = HCF(549,247) = HCF(796,549) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 667 > 1, we apply the division lemma to 667 and 1, to get
667 = 1 x 667 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 667 is 1
Notice that 1 = HCF(667,1) .
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 796, 549, 667?
Answer: HCF of 796, 549, 667 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 796, 549, 667 using Euclid's Algorithm?
Answer: For arbitrary numbers 796, 549, 667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.