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 883, 540, 441, 357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 883, 540, 441, 357 is 1 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 883, 540, 441, 357 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 883, 540, 441, 357 is 1.
HCF(883, 540, 441, 357) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 883, 540, 441, 357 is 1.
Step 1: Since 883 > 540, we apply the division lemma to 883 and 540, to get
883 = 540 x 1 + 343
Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 343 and 540, to get
540 = 343 x 1 + 197
Step 3: We consider the new divisor 343 and the new remainder 197, and apply the division lemma to get
343 = 197 x 1 + 146
We consider the new divisor 197 and the new remainder 146,and apply the division lemma to get
197 = 146 x 1 + 51
We consider the new divisor 146 and the new remainder 51,and apply the division lemma to get
146 = 51 x 2 + 44
We consider the new divisor 51 and the new remainder 44,and apply the division lemma to get
51 = 44 x 1 + 7
We consider the new divisor 44 and the new remainder 7,and apply the division lemma to get
44 = 7 x 6 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 883 and 540 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(44,7) = HCF(51,44) = HCF(146,51) = HCF(197,146) = HCF(343,197) = HCF(540,343) = HCF(883,540) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 441 > 1, we apply the division lemma to 441 and 1, to get
441 = 1 x 441 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 441 is 1
Notice that 1 = HCF(441,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 357 > 1, we apply the division lemma to 357 and 1, to get
357 = 1 x 357 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 357 is 1
Notice that 1 = HCF(357,1) .
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 883, 540, 441, 357?
Answer: HCF of 883, 540, 441, 357 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 883, 540, 441, 357 using Euclid's Algorithm?
Answer: For arbitrary numbers 883, 540, 441, 357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.