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 404, 377, 810, 678 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 404, 377, 810, 678 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 404, 377, 810, 678 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 404, 377, 810, 678 is 1.
HCF(404, 377, 810, 678) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 404, 377, 810, 678 is 1.
Step 1: Since 404 > 377, we apply the division lemma to 404 and 377, to get
404 = 377 x 1 + 27
Step 2: Since the reminder 377 ≠ 0, we apply division lemma to 27 and 377, to get
377 = 27 x 13 + 26
Step 3: We consider the new divisor 27 and the new remainder 26, and apply the division lemma to get
27 = 26 x 1 + 1
We consider the new divisor 26 and the new remainder 1, and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 404 and 377 is 1
Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(377,27) = HCF(404,377) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 810 > 1, we apply the division lemma to 810 and 1, to get
810 = 1 x 810 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 810 is 1
Notice that 1 = HCF(810,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 678 > 1, we apply the division lemma to 678 and 1, to get
678 = 1 x 678 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 678 is 1
Notice that 1 = HCF(678,1) .
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 404, 377, 810, 678?
Answer: HCF of 404, 377, 810, 678 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 404, 377, 810, 678 using Euclid's Algorithm?
Answer: For arbitrary numbers 404, 377, 810, 678 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.