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 881, 776, 127 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 881, 776, 127 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 881, 776, 127 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 881, 776, 127 is 1.
HCF(881, 776, 127) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 881, 776, 127 is 1.
Step 1: Since 881 > 776, we apply the division lemma to 881 and 776, to get
881 = 776 x 1 + 105
Step 2: Since the reminder 776 ≠ 0, we apply division lemma to 105 and 776, to get
776 = 105 x 7 + 41
Step 3: We consider the new divisor 105 and the new remainder 41, and apply the division lemma to get
105 = 41 x 2 + 23
We consider the new divisor 41 and the new remainder 23,and apply the division lemma to get
41 = 23 x 1 + 18
We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get
23 = 18 x 1 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 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 881 and 776 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(41,23) = HCF(105,41) = HCF(776,105) = HCF(881,776) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 127 > 1, we apply the division lemma to 127 and 1, to get
127 = 1 x 127 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 127 is 1
Notice that 1 = HCF(127,1) .
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 881, 776, 127?
Answer: HCF of 881, 776, 127 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 881, 776, 127 using Euclid's Algorithm?
Answer: For arbitrary numbers 881, 776, 127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.