Highest Common Factor of 7757, 2358 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, 2358 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7757, 2358 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, 2358 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, 2358 is 1.
HCF(7757, 2358) = 1
HCF of 7757, 2358 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, 2358 is 1.
Highest Common Factor of 7757,2358 is 1
Step 1: Since 7757 > 2358, we apply the division lemma to 7757 and 2358, to get
7757 = 2358 x 3 + 683
Step 2: Since the reminder 2358 ≠ 0, we apply division lemma to 683 and 2358, to get
2358 = 683 x 3 + 309
Step 3: We consider the new divisor 683 and the new remainder 309, and apply the division lemma to get
683 = 309 x 2 + 65
We consider the new divisor 309 and the new remainder 65,and apply the division lemma to get
309 = 65 x 4 + 49
We consider the new divisor 65 and the new remainder 49,and apply the division lemma to get
65 = 49 x 1 + 16
We consider the new divisor 49 and the new remainder 16,and apply the division lemma to get
49 = 16 x 3 + 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 7757 and 2358 is 1
Notice that 1 = HCF(16,1) = HCF(49,16) = HCF(65,49) = HCF(309,65) = HCF(683,309) = HCF(2358,683) = HCF(7757,2358) .
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Frequently Asked Questions on HCF of 7757, 2358 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, 2358?
Answer: HCF of 7757, 2358 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7757, 2358 using Euclid's Algorithm?
Answer: For arbitrary numbers 7757, 2358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
