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 899, 502, 836, 770 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 899, 502, 836, 770 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 899, 502, 836, 770 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 899, 502, 836, 770 is 1.
HCF(899, 502, 836, 770) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 899, 502, 836, 770 is 1.
Step 1: Since 899 > 502, we apply the division lemma to 899 and 502, to get
899 = 502 x 1 + 397
Step 2: Since the reminder 502 ≠ 0, we apply division lemma to 397 and 502, to get
502 = 397 x 1 + 105
Step 3: We consider the new divisor 397 and the new remainder 105, and apply the division lemma to get
397 = 105 x 3 + 82
We consider the new divisor 105 and the new remainder 82,and apply the division lemma to get
105 = 82 x 1 + 23
We consider the new divisor 82 and the new remainder 23,and apply the division lemma to get
82 = 23 x 3 + 13
We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get
23 = 13 x 1 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 899 and 502 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(82,23) = HCF(105,82) = HCF(397,105) = HCF(502,397) = HCF(899,502) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 836 > 1, we apply the division lemma to 836 and 1, to get
836 = 1 x 836 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 836 is 1
Notice that 1 = HCF(836,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 770 > 1, we apply the division lemma to 770 and 1, to get
770 = 1 x 770 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 770 is 1
Notice that 1 = HCF(770,1) .
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 899, 502, 836, 770?
Answer: HCF of 899, 502, 836, 770 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 899, 502, 836, 770 using Euclid's Algorithm?
Answer: For arbitrary numbers 899, 502, 836, 770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.