Highest Common Factor of 921, 70198 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 921, 70198 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 921, 70198 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 921, 70198 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 921, 70198 is 1.
HCF(921, 70198) = 1
HCF of 921, 70198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 921, 70198 is 1.
Highest Common Factor of 921,70198 is 1
Step 1: Since 70198 > 921, we apply the division lemma to 70198 and 921, to get
70198 = 921 x 76 + 202
Step 2: Since the reminder 921 ≠ 0, we apply division lemma to 202 and 921, to get
921 = 202 x 4 + 113
Step 3: We consider the new divisor 202 and the new remainder 113, and apply the division lemma to get
202 = 113 x 1 + 89
We consider the new divisor 113 and the new remainder 89,and apply the division lemma to get
113 = 89 x 1 + 24
We consider the new divisor 89 and the new remainder 24,and apply the division lemma to get
89 = 24 x 3 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 921 and 70198 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(89,24) = HCF(113,89) = HCF(202,113) = HCF(921,202) = HCF(70198,921) .
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Frequently Asked Questions on HCF of 921, 70198 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 921, 70198?
Answer: HCF of 921, 70198 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 921, 70198 using Euclid's Algorithm?
Answer: For arbitrary numbers 921, 70198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.