Highest Common Factor of 1792, 9998 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 1792, 9998 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1792, 9998 is 2 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 1792, 9998 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 1792, 9998 is 2.
HCF(1792, 9998) = 2
HCF of 1792, 9998 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1792, 9998 is 2.
Highest Common Factor of 1792,9998 is 2
Step 1: Since 9998 > 1792, we apply the division lemma to 9998 and 1792, to get
9998 = 1792 x 5 + 1038
Step 2: Since the reminder 1792 ≠ 0, we apply division lemma to 1038 and 1792, to get
1792 = 1038 x 1 + 754
Step 3: We consider the new divisor 1038 and the new remainder 754, and apply the division lemma to get
1038 = 754 x 1 + 284
We consider the new divisor 754 and the new remainder 284,and apply the division lemma to get
754 = 284 x 2 + 186
We consider the new divisor 284 and the new remainder 186,and apply the division lemma to get
284 = 186 x 1 + 98
We consider the new divisor 186 and the new remainder 98,and apply the division lemma to get
186 = 98 x 1 + 88
We consider the new divisor 98 and the new remainder 88,and apply the division lemma to get
98 = 88 x 1 + 10
We consider the new divisor 88 and the new remainder 10,and apply the division lemma to get
88 = 10 x 8 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1792 and 9998 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(88,10) = HCF(98,88) = HCF(186,98) = HCF(284,186) = HCF(754,284) = HCF(1038,754) = HCF(1792,1038) = HCF(9998,1792) .
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Frequently Asked Questions on HCF of 1792, 9998 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 1792, 9998?
Answer: HCF of 1792, 9998 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1792, 9998 using Euclid's Algorithm?
Answer: For arbitrary numbers 1792, 9998 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.