Highest Common Factor of 738, 935 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 738, 935 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 738, 935 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 738, 935 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 738, 935 is 1.
HCF(738, 935) = 1
HCF of 738, 935 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 738, 935 is 1.
Highest Common Factor of 738,935 is 1
Step 1: Since 935 > 738, we apply the division lemma to 935 and 738, to get
935 = 738 x 1 + 197
Step 2: Since the reminder 738 ≠ 0, we apply division lemma to 197 and 738, to get
738 = 197 x 3 + 147
Step 3: We consider the new divisor 197 and the new remainder 147, and apply the division lemma to get
197 = 147 x 1 + 50
We consider the new divisor 147 and the new remainder 50,and apply the division lemma to get
147 = 50 x 2 + 47
We consider the new divisor 50 and the new remainder 47,and apply the division lemma to get
50 = 47 x 1 + 3
We consider the new divisor 47 and the new remainder 3,and apply the division lemma to get
47 = 3 x 15 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 738 and 935 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(47,3) = HCF(50,47) = HCF(147,50) = HCF(197,147) = HCF(738,197) = HCF(935,738) .
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Frequently Asked Questions on HCF of 738, 935 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 738, 935?
Answer: HCF of 738, 935 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 738, 935 using Euclid's Algorithm?
Answer: For arbitrary numbers 738, 935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.