Highest Common Factor of 9941, 6852 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 9941, 6852 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9941, 6852 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 9941, 6852 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 9941, 6852 is 1.
HCF(9941, 6852) = 1
HCF of 9941, 6852 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9941, 6852 is 1.
Highest Common Factor of 9941,6852 is 1
Step 1: Since 9941 > 6852, we apply the division lemma to 9941 and 6852, to get
9941 = 6852 x 1 + 3089
Step 2: Since the reminder 6852 ≠ 0, we apply division lemma to 3089 and 6852, to get
6852 = 3089 x 2 + 674
Step 3: We consider the new divisor 3089 and the new remainder 674, and apply the division lemma to get
3089 = 674 x 4 + 393
We consider the new divisor 674 and the new remainder 393,and apply the division lemma to get
674 = 393 x 1 + 281
We consider the new divisor 393 and the new remainder 281,and apply the division lemma to get
393 = 281 x 1 + 112
We consider the new divisor 281 and the new remainder 112,and apply the division lemma to get
281 = 112 x 2 + 57
We consider the new divisor 112 and the new remainder 57,and apply the division lemma to get
112 = 57 x 1 + 55
We consider the new divisor 57 and the new remainder 55,and apply the division lemma to get
57 = 55 x 1 + 2
We consider the new divisor 55 and the new remainder 2,and apply the division lemma to get
55 = 2 x 27 + 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 9941 and 6852 is 1
Notice that 1 = HCF(2,1) = HCF(55,2) = HCF(57,55) = HCF(112,57) = HCF(281,112) = HCF(393,281) = HCF(674,393) = HCF(3089,674) = HCF(6852,3089) = HCF(9941,6852) .
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Frequently Asked Questions on HCF of 9941, 6852 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 9941, 6852?
Answer: HCF of 9941, 6852 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9941, 6852 using Euclid's Algorithm?
Answer: For arbitrary numbers 9941, 6852 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
