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 648, 984, 883, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 648, 984, 883, 869 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 648, 984, 883, 869 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 648, 984, 883, 869 is 1.
HCF(648, 984, 883, 869) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 648, 984, 883, 869 is 1.
Step 1: Since 984 > 648, we apply the division lemma to 984 and 648, to get
984 = 648 x 1 + 336
Step 2: Since the reminder 648 ≠ 0, we apply division lemma to 336 and 648, to get
648 = 336 x 1 + 312
Step 3: We consider the new divisor 336 and the new remainder 312, and apply the division lemma to get
336 = 312 x 1 + 24
We consider the new divisor 312 and the new remainder 24, and apply the division lemma to get
312 = 24 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 648 and 984 is 24
Notice that 24 = HCF(312,24) = HCF(336,312) = HCF(648,336) = HCF(984,648) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 883 > 24, we apply the division lemma to 883 and 24, to get
883 = 24 x 36 + 19
Step 2: Since the reminder 24 ≠ 0, we apply division lemma to 19 and 24, to get
24 = 19 x 1 + 5
Step 3: We consider the new divisor 19 and the new remainder 5, and apply the division lemma to get
19 = 5 x 3 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 24 and 883 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(883,24) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 869 > 1, we apply the division lemma to 869 and 1, to get
869 = 1 x 869 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 869 is 1
Notice that 1 = HCF(869,1) .
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 648, 984, 883, 869?
Answer: HCF of 648, 984, 883, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 648, 984, 883, 869 using Euclid's Algorithm?
Answer: For arbitrary numbers 648, 984, 883, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.