Highest Common Factor of 9242, 680 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 9242, 680 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9242, 680 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 9242, 680 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 9242, 680 is 2.
HCF(9242, 680) = 2
HCF of 9242, 680 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9242, 680 is 2.
Highest Common Factor of 9242,680 is 2
Step 1: Since 9242 > 680, we apply the division lemma to 9242 and 680, to get
9242 = 680 x 13 + 402
Step 2: Since the reminder 680 ≠ 0, we apply division lemma to 402 and 680, to get
680 = 402 x 1 + 278
Step 3: We consider the new divisor 402 and the new remainder 278, and apply the division lemma to get
402 = 278 x 1 + 124
We consider the new divisor 278 and the new remainder 124,and apply the division lemma to get
278 = 124 x 2 + 30
We consider the new divisor 124 and the new remainder 30,and apply the division lemma to get
124 = 30 x 4 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9242 and 680 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(124,30) = HCF(278,124) = HCF(402,278) = HCF(680,402) = HCF(9242,680) .
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Frequently Asked Questions on HCF of 9242, 680 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 9242, 680?
Answer: HCF of 9242, 680 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9242, 680 using Euclid's Algorithm?
Answer: For arbitrary numbers 9242, 680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.