Highest Common Factor of 9852, 7019 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 9852, 7019 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9852, 7019 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 9852, 7019 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 9852, 7019 is 1.
HCF(9852, 7019) = 1
HCF of 9852, 7019 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9852, 7019 is 1.
Highest Common Factor of 9852,7019 is 1
Step 1: Since 9852 > 7019, we apply the division lemma to 9852 and 7019, to get
9852 = 7019 x 1 + 2833
Step 2: Since the reminder 7019 ≠ 0, we apply division lemma to 2833 and 7019, to get
7019 = 2833 x 2 + 1353
Step 3: We consider the new divisor 2833 and the new remainder 1353, and apply the division lemma to get
2833 = 1353 x 2 + 127
We consider the new divisor 1353 and the new remainder 127,and apply the division lemma to get
1353 = 127 x 10 + 83
We consider the new divisor 127 and the new remainder 83,and apply the division lemma to get
127 = 83 x 1 + 44
We consider the new divisor 83 and the new remainder 44,and apply the division lemma to get
83 = 44 x 1 + 39
We consider the new divisor 44 and the new remainder 39,and apply the division lemma to get
44 = 39 x 1 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9852 and 7019 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(44,39) = HCF(83,44) = HCF(127,83) = HCF(1353,127) = HCF(2833,1353) = HCF(7019,2833) = HCF(9852,7019) .
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Frequently Asked Questions on HCF of 9852, 7019 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 9852, 7019?
Answer: HCF of 9852, 7019 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9852, 7019 using Euclid's Algorithm?
Answer: For arbitrary numbers 9852, 7019 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.