Highest Common Factor of 4248, 1917 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 4248, 1917 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 4248, 1917 is 9 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 4248, 1917 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 4248, 1917 is 9.
HCF(4248, 1917) = 9
HCF of 4248, 1917 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4248, 1917 is 9.
Highest Common Factor of 4248,1917 is 9
Step 1: Since 4248 > 1917, we apply the division lemma to 4248 and 1917, to get
4248 = 1917 x 2 + 414
Step 2: Since the reminder 1917 ≠ 0, we apply division lemma to 414 and 1917, to get
1917 = 414 x 4 + 261
Step 3: We consider the new divisor 414 and the new remainder 261, and apply the division lemma to get
414 = 261 x 1 + 153
We consider the new divisor 261 and the new remainder 153,and apply the division lemma to get
261 = 153 x 1 + 108
We consider the new divisor 153 and the new remainder 108,and apply the division lemma to get
153 = 108 x 1 + 45
We consider the new divisor 108 and the new remainder 45,and apply the division lemma to get
108 = 45 x 2 + 18
We consider the new divisor 45 and the new remainder 18,and apply the division lemma to get
45 = 18 x 2 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4248 and 1917 is 9
Notice that 9 = HCF(18,9) = HCF(45,18) = HCF(108,45) = HCF(153,108) = HCF(261,153) = HCF(414,261) = HCF(1917,414) = HCF(4248,1917) .
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Frequently Asked Questions on HCF of 4248, 1917 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 4248, 1917?
Answer: HCF of 4248, 1917 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4248, 1917 using Euclid's Algorithm?
Answer: For arbitrary numbers 4248, 1917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.