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 634, 887, 161, 781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 634, 887, 161, 781 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 634, 887, 161, 781 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 634, 887, 161, 781 is 1.
HCF(634, 887, 161, 781) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 634, 887, 161, 781 is 1.
Step 1: Since 887 > 634, we apply the division lemma to 887 and 634, to get
887 = 634 x 1 + 253
Step 2: Since the reminder 634 ≠ 0, we apply division lemma to 253 and 634, to get
634 = 253 x 2 + 128
Step 3: We consider the new divisor 253 and the new remainder 128, and apply the division lemma to get
253 = 128 x 1 + 125
We consider the new divisor 128 and the new remainder 125,and apply the division lemma to get
128 = 125 x 1 + 3
We consider the new divisor 125 and the new remainder 3,and apply the division lemma to get
125 = 3 x 41 + 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 634 and 887 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(125,3) = HCF(128,125) = HCF(253,128) = HCF(634,253) = HCF(887,634) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 161 > 1, we apply the division lemma to 161 and 1, to get
161 = 1 x 161 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 161 is 1
Notice that 1 = HCF(161,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 781 > 1, we apply the division lemma to 781 and 1, to get
781 = 1 x 781 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 781 is 1
Notice that 1 = HCF(781,1) .
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 634, 887, 161, 781?
Answer: HCF of 634, 887, 161, 781 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 634, 887, 161, 781 using Euclid's Algorithm?
Answer: For arbitrary numbers 634, 887, 161, 781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.