Highest Common Factor of 7737, 5238 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 7737, 5238 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7737, 5238 is 3 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 7737, 5238 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 7737, 5238 is 3.
HCF(7737, 5238) = 3
HCF of 7737, 5238 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7737, 5238 is 3.
Highest Common Factor of 7737,5238 is 3
Step 1: Since 7737 > 5238, we apply the division lemma to 7737 and 5238, to get
7737 = 5238 x 1 + 2499
Step 2: Since the reminder 5238 ≠ 0, we apply division lemma to 2499 and 5238, to get
5238 = 2499 x 2 + 240
Step 3: We consider the new divisor 2499 and the new remainder 240, and apply the division lemma to get
2499 = 240 x 10 + 99
We consider the new divisor 240 and the new remainder 99,and apply the division lemma to get
240 = 99 x 2 + 42
We consider the new divisor 99 and the new remainder 42,and apply the division lemma to get
99 = 42 x 2 + 15
We consider the new divisor 42 and the new remainder 15,and apply the division lemma to get
42 = 15 x 2 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7737 and 5238 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(42,15) = HCF(99,42) = HCF(240,99) = HCF(2499,240) = HCF(5238,2499) = HCF(7737,5238) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7737, 5238 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 7737, 5238?
Answer: HCF of 7737, 5238 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7737, 5238 using Euclid's Algorithm?
Answer: For arbitrary numbers 7737, 5238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.