Highest Common Factor of 841, 882, 125, 26 using Euclid's algorithm
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 841, 882, 125, 26 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 841, 882, 125, 26 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 841, 882, 125, 26 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 841, 882, 125, 26 is 1.
HCF(841, 882, 125, 26) = 1
HCF of 841, 882, 125, 26 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 841, 882, 125, 26 is 1.
Highest Common Factor of 841,882,125,26 is 1
Step 1: Since 882 > 841, we apply the division lemma to 882 and 841, to get
882 = 841 x 1 + 41
Step 2: Since the reminder 841 ≠ 0, we apply division lemma to 41 and 841, to get
841 = 41 x 20 + 21
Step 3: We consider the new divisor 41 and the new remainder 21, and apply the division lemma to get
41 = 21 x 1 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 841 and 882 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(41,21) = HCF(841,41) = HCF(882,841) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 125 > 1, we apply the division lemma to 125 and 1, to get
125 = 1 x 125 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 125 is 1
Notice that 1 = HCF(125,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 26 > 1, we apply the division lemma to 26 and 1, 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 1 and 26 is 1
Notice that 1 = HCF(26,1) .
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Frequently Asked Questions on HCF of 841, 882, 125, 26 using Euclid's Algorithm
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 841, 882, 125, 26?
Answer: HCF of 841, 882, 125, 26 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 841, 882, 125, 26 using Euclid's Algorithm?
Answer: For arbitrary numbers 841, 882, 125, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.