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 6204, 737 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 6204, 737 is 11 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 6204, 737 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 6204, 737 is 11.
HCF(6204, 737) = 11
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6204, 737 is 11.
Step 1: Since 6204 > 737, we apply the division lemma to 6204 and 737, to get
6204 = 737 x 8 + 308
Step 2: Since the reminder 737 ≠ 0, we apply division lemma to 308 and 737, to get
737 = 308 x 2 + 121
Step 3: We consider the new divisor 308 and the new remainder 121, and apply the division lemma to get
308 = 121 x 2 + 66
We consider the new divisor 121 and the new remainder 66,and apply the division lemma to get
121 = 66 x 1 + 55
We consider the new divisor 66 and the new remainder 55,and apply the division lemma to get
66 = 55 x 1 + 11
We consider the new divisor 55 and the new remainder 11,and apply the division lemma to get
55 = 11 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 6204 and 737 is 11
Notice that 11 = HCF(55,11) = HCF(66,55) = HCF(121,66) = HCF(308,121) = HCF(737,308) = HCF(6204,737) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6204, 737?
Answer: HCF of 6204, 737 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6204, 737 using Euclid's Algorithm?
Answer: For arbitrary numbers 6204, 737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.