Highest Common Factor of 3763, 5198 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 3763, 5198 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3763, 5198 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 3763, 5198 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 3763, 5198 is 1.
HCF(3763, 5198) = 1
HCF of 3763, 5198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3763, 5198 is 1.
Highest Common Factor of 3763,5198 is 1
Step 1: Since 5198 > 3763, we apply the division lemma to 5198 and 3763, to get
5198 = 3763 x 1 + 1435
Step 2: Since the reminder 3763 ≠ 0, we apply division lemma to 1435 and 3763, to get
3763 = 1435 x 2 + 893
Step 3: We consider the new divisor 1435 and the new remainder 893, and apply the division lemma to get
1435 = 893 x 1 + 542
We consider the new divisor 893 and the new remainder 542,and apply the division lemma to get
893 = 542 x 1 + 351
We consider the new divisor 542 and the new remainder 351,and apply the division lemma to get
542 = 351 x 1 + 191
We consider the new divisor 351 and the new remainder 191,and apply the division lemma to get
351 = 191 x 1 + 160
We consider the new divisor 191 and the new remainder 160,and apply the division lemma to get
191 = 160 x 1 + 31
We consider the new divisor 160 and the new remainder 31,and apply the division lemma to get
160 = 31 x 5 + 5
We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get
31 = 5 x 6 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3763 and 5198 is 1
Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(160,31) = HCF(191,160) = HCF(351,191) = HCF(542,351) = HCF(893,542) = HCF(1435,893) = HCF(3763,1435) = HCF(5198,3763) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3763, 5198 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 3763, 5198?
Answer: HCF of 3763, 5198 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3763, 5198 using Euclid's Algorithm?
Answer: For arbitrary numbers 3763, 5198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.