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 1672, 4818 i.e. 22 the largest integer that leaves a remainder zero for all numbers.
HCF of 1672, 4818 is 22 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 1672, 4818 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 1672, 4818 is 22.
HCF(1672, 4818) = 22
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1672, 4818 is 22.
Step 1: Since 4818 > 1672, we apply the division lemma to 4818 and 1672, to get
4818 = 1672 x 2 + 1474
Step 2: Since the reminder 1672 ≠ 0, we apply division lemma to 1474 and 1672, to get
1672 = 1474 x 1 + 198
Step 3: We consider the new divisor 1474 and the new remainder 198, and apply the division lemma to get
1474 = 198 x 7 + 88
We consider the new divisor 198 and the new remainder 88,and apply the division lemma to get
198 = 88 x 2 + 22
We consider the new divisor 88 and the new remainder 22,and apply the division lemma to get
88 = 22 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 1672 and 4818 is 22
Notice that 22 = HCF(88,22) = HCF(198,88) = HCF(1474,198) = HCF(1672,1474) = HCF(4818,1672) .
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 1672, 4818?
Answer: HCF of 1672, 4818 is 22 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1672, 4818 using Euclid's Algorithm?
Answer: For arbitrary numbers 1672, 4818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.