Highest Common Factor of 7757, 1716 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 7757, 1716 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7757, 1716 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 7757, 1716 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 7757, 1716 is 1.
HCF(7757, 1716) = 1
HCF of 7757, 1716 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7757, 1716 is 1.
Highest Common Factor of 7757,1716 is 1
Step 1: Since 7757 > 1716, we apply the division lemma to 7757 and 1716, to get
7757 = 1716 x 4 + 893
Step 2: Since the reminder 1716 ≠ 0, we apply division lemma to 893 and 1716, to get
1716 = 893 x 1 + 823
Step 3: We consider the new divisor 893 and the new remainder 823, and apply the division lemma to get
893 = 823 x 1 + 70
We consider the new divisor 823 and the new remainder 70,and apply the division lemma to get
823 = 70 x 11 + 53
We consider the new divisor 70 and the new remainder 53,and apply the division lemma to get
70 = 53 x 1 + 17
We consider the new divisor 53 and the new remainder 17,and apply the division lemma to get
53 = 17 x 3 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7757 and 1716 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(53,17) = HCF(70,53) = HCF(823,70) = HCF(893,823) = HCF(1716,893) = HCF(7757,1716) .
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Frequently Asked Questions on HCF of 7757, 1716 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 7757, 1716?
Answer: HCF of 7757, 1716 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7757, 1716 using Euclid's Algorithm?
Answer: For arbitrary numbers 7757, 1716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.