Highest Common Factor of 841, 5672 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, 5672 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 841, 5672 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, 5672 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, 5672 is 1.
HCF(841, 5672) = 1
HCF of 841, 5672 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, 5672 is 1.
Highest Common Factor of 841,5672 is 1
Step 1: Since 5672 > 841, we apply the division lemma to 5672 and 841, to get
5672 = 841 x 6 + 626
Step 2: Since the reminder 841 ≠ 0, we apply division lemma to 626 and 841, to get
841 = 626 x 1 + 215
Step 3: We consider the new divisor 626 and the new remainder 215, and apply the division lemma to get
626 = 215 x 2 + 196
We consider the new divisor 215 and the new remainder 196,and apply the division lemma to get
215 = 196 x 1 + 19
We consider the new divisor 196 and the new remainder 19,and apply the division lemma to get
196 = 19 x 10 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 841 and 5672 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(196,19) = HCF(215,196) = HCF(626,215) = HCF(841,626) = HCF(5672,841) .
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Frequently Asked Questions on HCF of 841, 5672 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, 5672?
Answer: HCF of 841, 5672 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 841, 5672 using Euclid's Algorithm?
Answer: For arbitrary numbers 841, 5672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.