Highest Common Factor of 7755, 1709, 81953 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 7755, 1709, 81953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7755, 1709, 81953 is 1 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 7755, 1709, 81953 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 7755, 1709, 81953 is 1.
HCF(7755, 1709, 81953) = 1
HCF of 7755, 1709, 81953 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7755, 1709, 81953 is 1.
Highest Common Factor of 7755,1709,81953 is 1
Step 1: Since 7755 > 1709, we apply the division lemma to 7755 and 1709, to get
7755 = 1709 x 4 + 919
Step 2: Since the reminder 1709 ≠ 0, we apply division lemma to 919 and 1709, to get
1709 = 919 x 1 + 790
Step 3: We consider the new divisor 919 and the new remainder 790, and apply the division lemma to get
919 = 790 x 1 + 129
We consider the new divisor 790 and the new remainder 129,and apply the division lemma to get
790 = 129 x 6 + 16
We consider the new divisor 129 and the new remainder 16,and apply the division lemma to get
129 = 16 x 8 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7755 and 1709 is 1
Notice that 1 = HCF(16,1) = HCF(129,16) = HCF(790,129) = HCF(919,790) = HCF(1709,919) = HCF(7755,1709) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 81953 > 1, we apply the division lemma to 81953 and 1, to get
81953 = 1 x 81953 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81953 is 1
Notice that 1 = HCF(81953,1) .
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Frequently Asked Questions on HCF of 7755, 1709, 81953 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 7755, 1709, 81953?
Answer: HCF of 7755, 1709, 81953 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7755, 1709, 81953 using Euclid's Algorithm?
Answer: For arbitrary numbers 7755, 1709, 81953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.