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 798, 904, 681, 881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 798, 904, 681, 881 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 798, 904, 681, 881 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 798, 904, 681, 881 is 1.
HCF(798, 904, 681, 881) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 798, 904, 681, 881 is 1.
Step 1: Since 904 > 798, we apply the division lemma to 904 and 798, to get
904 = 798 x 1 + 106
Step 2: Since the reminder 798 ≠ 0, we apply division lemma to 106 and 798, to get
798 = 106 x 7 + 56
Step 3: We consider the new divisor 106 and the new remainder 56, and apply the division lemma to get
106 = 56 x 1 + 50
We consider the new divisor 56 and the new remainder 50,and apply the division lemma to get
56 = 50 x 1 + 6
We consider the new divisor 50 and the new remainder 6,and apply the division lemma to get
50 = 6 x 8 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 798 and 904 is 2
Notice that 2 = HCF(6,2) = HCF(50,6) = HCF(56,50) = HCF(106,56) = HCF(798,106) = HCF(904,798) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 681 > 2, we apply the division lemma to 681 and 2, to get
681 = 2 x 340 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 681 is 1
Notice that 1 = HCF(2,1) = HCF(681,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 881 > 1, we apply the division lemma to 881 and 1, to get
881 = 1 x 881 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 881 is 1
Notice that 1 = HCF(881,1) .
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 798, 904, 681, 881?
Answer: HCF of 798, 904, 681, 881 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 798, 904, 681, 881 using Euclid's Algorithm?
Answer: For arbitrary numbers 798, 904, 681, 881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.