Highest Common Factor of 4738, 7936 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 4738, 7936 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4738, 7936 is 2 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 4738, 7936 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 4738, 7936 is 2.
HCF(4738, 7936) = 2
HCF of 4738, 7936 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4738, 7936 is 2.
Highest Common Factor of 4738,7936 is 2
Step 1: Since 7936 > 4738, we apply the division lemma to 7936 and 4738, to get
7936 = 4738 x 1 + 3198
Step 2: Since the reminder 4738 ≠ 0, we apply division lemma to 3198 and 4738, to get
4738 = 3198 x 1 + 1540
Step 3: We consider the new divisor 3198 and the new remainder 1540, and apply the division lemma to get
3198 = 1540 x 2 + 118
We consider the new divisor 1540 and the new remainder 118,and apply the division lemma to get
1540 = 118 x 13 + 6
We consider the new divisor 118 and the new remainder 6,and apply the division lemma to get
118 = 6 x 19 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4738 and 7936 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(118,6) = HCF(1540,118) = HCF(3198,1540) = HCF(4738,3198) = HCF(7936,4738) .
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Frequently Asked Questions on HCF of 4738, 7936 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 4738, 7936?
Answer: HCF of 4738, 7936 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4738, 7936 using Euclid's Algorithm?
Answer: For arbitrary numbers 4738, 7936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.