Highest Common Factor of 5935, 7754 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 5935, 7754 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5935, 7754 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 5935, 7754 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 5935, 7754 is 1.
HCF(5935, 7754) = 1
HCF of 5935, 7754 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5935, 7754 is 1.
Highest Common Factor of 5935,7754 is 1
Step 1: Since 7754 > 5935, we apply the division lemma to 7754 and 5935, to get
7754 = 5935 x 1 + 1819
Step 2: Since the reminder 5935 ≠ 0, we apply division lemma to 1819 and 5935, to get
5935 = 1819 x 3 + 478
Step 3: We consider the new divisor 1819 and the new remainder 478, and apply the division lemma to get
1819 = 478 x 3 + 385
We consider the new divisor 478 and the new remainder 385,and apply the division lemma to get
478 = 385 x 1 + 93
We consider the new divisor 385 and the new remainder 93,and apply the division lemma to get
385 = 93 x 4 + 13
We consider the new divisor 93 and the new remainder 13,and apply the division lemma to get
93 = 13 x 7 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 5935 and 7754 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(93,13) = HCF(385,93) = HCF(478,385) = HCF(1819,478) = HCF(5935,1819) = HCF(7754,5935) .
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Frequently Asked Questions on HCF of 5935, 7754 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 5935, 7754?
Answer: HCF of 5935, 7754 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5935, 7754 using Euclid's Algorithm?
Answer: For arbitrary numbers 5935, 7754 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
