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 699, 437, 850, 18 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 699, 437, 850, 18 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 699, 437, 850, 18 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 699, 437, 850, 18 is 1.
HCF(699, 437, 850, 18) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 699, 437, 850, 18 is 1.
Step 1: Since 699 > 437, we apply the division lemma to 699 and 437, to get
699 = 437 x 1 + 262
Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 262 and 437, to get
437 = 262 x 1 + 175
Step 3: We consider the new divisor 262 and the new remainder 175, and apply the division lemma to get
262 = 175 x 1 + 87
We consider the new divisor 175 and the new remainder 87,and apply the division lemma to get
175 = 87 x 2 + 1
We consider the new divisor 87 and the new remainder 1,and apply the division lemma to get
87 = 1 x 87 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 699 and 437 is 1
Notice that 1 = HCF(87,1) = HCF(175,87) = HCF(262,175) = HCF(437,262) = HCF(699,437) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 850 > 1, we apply the division lemma to 850 and 1, to get
850 = 1 x 850 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 850 is 1
Notice that 1 = HCF(850,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 18 > 1, we apply the division lemma to 18 and 1, to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18 is 1
Notice that 1 = HCF(18,1) .
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 699, 437, 850, 18?
Answer: HCF of 699, 437, 850, 18 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 699, 437, 850, 18 using Euclid's Algorithm?
Answer: For arbitrary numbers 699, 437, 850, 18 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.