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, 520, 922, 14 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 883, 520, 922, 14 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, 520, 922, 14 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, 520, 922, 14 is 1.
HCF(883, 520, 922, 14) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 883, 520, 922, 14 is 1.
Step 1: Since 883 > 520, we apply the division lemma to 883 and 520, to get
883 = 520 x 1 + 363
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 363 and 520, to get
520 = 363 x 1 + 157
Step 3: We consider the new divisor 363 and the new remainder 157, and apply the division lemma to get
363 = 157 x 2 + 49
We consider the new divisor 157 and the new remainder 49,and apply the division lemma to get
157 = 49 x 3 + 10
We consider the new divisor 49 and the new remainder 10,and apply the division lemma to get
49 = 10 x 4 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 883 and 520 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(49,10) = HCF(157,49) = HCF(363,157) = HCF(520,363) = HCF(883,520) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 922 > 1, we apply the division lemma to 922 and 1, to get
922 = 1 x 922 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 922 is 1
Notice that 1 = HCF(922,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 14 > 1, we apply the division lemma to 14 and 1, to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14 is 1
Notice that 1 = HCF(14,1) .
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, 520, 922, 14?
Answer: HCF of 883, 520, 922, 14 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 883, 520, 922, 14 using Euclid's Algorithm?
Answer: For arbitrary numbers 883, 520, 922, 14 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.