Highest Common Factor of 777, 5735 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 777, 5735 i.e. 37 the largest integer that leaves a remainder zero for all numbers.
HCF of 777, 5735 is 37 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 777, 5735 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 777, 5735 is 37.
HCF(777, 5735) = 37
HCF of 777, 5735 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 777, 5735 is 37.
Highest Common Factor of 777,5735 is 37
Step 1: Since 5735 > 777, we apply the division lemma to 5735 and 777, to get
5735 = 777 x 7 + 296
Step 2: Since the reminder 777 ≠ 0, we apply division lemma to 296 and 777, to get
777 = 296 x 2 + 185
Step 3: We consider the new divisor 296 and the new remainder 185, and apply the division lemma to get
296 = 185 x 1 + 111
We consider the new divisor 185 and the new remainder 111,and apply the division lemma to get
185 = 111 x 1 + 74
We consider the new divisor 111 and the new remainder 74,and apply the division lemma to get
111 = 74 x 1 + 37
We consider the new divisor 74 and the new remainder 37,and apply the division lemma to get
74 = 37 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 777 and 5735 is 37
Notice that 37 = HCF(74,37) = HCF(111,74) = HCF(185,111) = HCF(296,185) = HCF(777,296) = HCF(5735,777) .
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Frequently Asked Questions on HCF of 777, 5735 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 777, 5735?
Answer: HCF of 777, 5735 is 37 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 777, 5735 using Euclid's Algorithm?
Answer: For arbitrary numbers 777, 5735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.