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 1645, 6237 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1645, 6237 is 7 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 1645, 6237 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 1645, 6237 is 7.
HCF(1645, 6237) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1645, 6237 is 7.
Step 1: Since 6237 > 1645, we apply the division lemma to 6237 and 1645, to get
6237 = 1645 x 3 + 1302
Step 2: Since the reminder 1645 ≠ 0, we apply division lemma to 1302 and 1645, to get
1645 = 1302 x 1 + 343
Step 3: We consider the new divisor 1302 and the new remainder 343, and apply the division lemma to get
1302 = 343 x 3 + 273
We consider the new divisor 343 and the new remainder 273,and apply the division lemma to get
343 = 273 x 1 + 70
We consider the new divisor 273 and the new remainder 70,and apply the division lemma to get
273 = 70 x 3 + 63
We consider the new divisor 70 and the new remainder 63,and apply the division lemma to get
70 = 63 x 1 + 7
We consider the new divisor 63 and the new remainder 7,and apply the division lemma to get
63 = 7 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1645 and 6237 is 7
Notice that 7 = HCF(63,7) = HCF(70,63) = HCF(273,70) = HCF(343,273) = HCF(1302,343) = HCF(1645,1302) = HCF(6237,1645) .
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 1645, 6237?
Answer: HCF of 1645, 6237 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1645, 6237 using Euclid's Algorithm?
Answer: For arbitrary numbers 1645, 6237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.