Highest Common Factor of 6650, 9842 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 6650, 9842 i.e. 266 the largest integer that leaves a remainder zero for all numbers.
HCF of 6650, 9842 is 266 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 6650, 9842 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 6650, 9842 is 266.
HCF(6650, 9842) = 266
HCF of 6650, 9842 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6650, 9842 is 266.
Highest Common Factor of 6650,9842 is 266
Step 1: Since 9842 > 6650, we apply the division lemma to 9842 and 6650, to get
9842 = 6650 x 1 + 3192
Step 2: Since the reminder 6650 ≠ 0, we apply division lemma to 3192 and 6650, to get
6650 = 3192 x 2 + 266
Step 3: We consider the new divisor 3192 and the new remainder 266, and apply the division lemma to get
3192 = 266 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 266, the HCF of 6650 and 9842 is 266
Notice that 266 = HCF(3192,266) = HCF(6650,3192) = HCF(9842,6650) .
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Frequently Asked Questions on HCF of 6650, 9842 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 6650, 9842?
Answer: HCF of 6650, 9842 is 266 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6650, 9842 using Euclid's Algorithm?
Answer: For arbitrary numbers 6650, 9842 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.