Highest Common Factor of 6650, 9807 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, 9807 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 6650, 9807 is 7 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, 9807 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, 9807 is 7.
HCF(6650, 9807) = 7
HCF of 6650, 9807 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, 9807 is 7.
Highest Common Factor of 6650,9807 is 7
Step 1: Since 9807 > 6650, we apply the division lemma to 9807 and 6650, to get
9807 = 6650 x 1 + 3157
Step 2: Since the reminder 6650 ≠ 0, we apply division lemma to 3157 and 6650, to get
6650 = 3157 x 2 + 336
Step 3: We consider the new divisor 3157 and the new remainder 336, and apply the division lemma to get
3157 = 336 x 9 + 133
We consider the new divisor 336 and the new remainder 133,and apply the division lemma to get
336 = 133 x 2 + 70
We consider the new divisor 133 and the new remainder 70,and apply the division lemma to get
133 = 70 x 1 + 63
We consider the new divisor 70 and the new remainder 63,and apply the division lemma to get
70 = 63 x 1 + 7
We consider the new divisor 63 and the new remainder 7,and apply the division lemma to get
63 = 7 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 6650 and 9807 is 7
Notice that 7 = HCF(63,7) = HCF(70,63) = HCF(133,70) = HCF(336,133) = HCF(3157,336) = HCF(6650,3157) = HCF(9807,6650) .
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Frequently Asked Questions on HCF of 6650, 9807 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, 9807?
Answer: HCF of 6650, 9807 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6650, 9807 using Euclid's Algorithm?
Answer: For arbitrary numbers 6650, 9807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
