Highest Common Factor of 9750, 2691 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 9750, 2691 i.e. 39 the largest integer that leaves a remainder zero for all numbers.
HCF of 9750, 2691 is 39 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 9750, 2691 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 9750, 2691 is 39.
HCF(9750, 2691) = 39
HCF of 9750, 2691 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9750, 2691 is 39.
Highest Common Factor of 9750,2691 is 39
Step 1: Since 9750 > 2691, we apply the division lemma to 9750 and 2691, to get
9750 = 2691 x 3 + 1677
Step 2: Since the reminder 2691 ≠ 0, we apply division lemma to 1677 and 2691, to get
2691 = 1677 x 1 + 1014
Step 3: We consider the new divisor 1677 and the new remainder 1014, and apply the division lemma to get
1677 = 1014 x 1 + 663
We consider the new divisor 1014 and the new remainder 663,and apply the division lemma to get
1014 = 663 x 1 + 351
We consider the new divisor 663 and the new remainder 351,and apply the division lemma to get
663 = 351 x 1 + 312
We consider the new divisor 351 and the new remainder 312,and apply the division lemma to get
351 = 312 x 1 + 39
We consider the new divisor 312 and the new remainder 39,and apply the division lemma to get
312 = 39 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 39, the HCF of 9750 and 2691 is 39
Notice that 39 = HCF(312,39) = HCF(351,312) = HCF(663,351) = HCF(1014,663) = HCF(1677,1014) = HCF(2691,1677) = HCF(9750,2691) .
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Frequently Asked Questions on HCF of 9750, 2691 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 9750, 2691?
Answer: HCF of 9750, 2691 is 39 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9750, 2691 using Euclid's Algorithm?
Answer: For arbitrary numbers 9750, 2691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.