Highest Common Factor of 841, 928 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, 928 i.e. 29 the largest integer that leaves a remainder zero for all numbers.
HCF of 841, 928 is 29 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, 928 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, 928 is 29.
HCF(841, 928) = 29
HCF of 841, 928 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, 928 is 29.
Highest Common Factor of 841,928 is 29
Step 1: Since 928 > 841, we apply the division lemma to 928 and 841, to get
928 = 841 x 1 + 87
Step 2: Since the reminder 841 ≠ 0, we apply division lemma to 87 and 841, to get
841 = 87 x 9 + 58
Step 3: We consider the new divisor 87 and the new remainder 58, and apply the division lemma to get
87 = 58 x 1 + 29
We consider the new divisor 58 and the new remainder 29, and apply the division lemma to get
58 = 29 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 841 and 928 is 29
Notice that 29 = HCF(58,29) = HCF(87,58) = HCF(841,87) = HCF(928,841) .
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Frequently Asked Questions on HCF of 841, 928 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, 928?
Answer: HCF of 841, 928 is 29 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 841, 928 using Euclid's Algorithm?
Answer: For arbitrary numbers 841, 928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.