Highest Common Factor of 690, 950, 502 using Euclid's algorithm
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 690, 950, 502 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 690, 950, 502 is 2 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 690, 950, 502 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 690, 950, 502 is 2.
HCF(690, 950, 502) = 2
HCF of 690, 950, 502 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 690, 950, 502 is 2.
Highest Common Factor of 690,950,502 is 2
Step 1: Since 950 > 690, we apply the division lemma to 950 and 690, to get
950 = 690 x 1 + 260
Step 2: Since the reminder 690 ≠ 0, we apply division lemma to 260 and 690, to get
690 = 260 x 2 + 170
Step 3: We consider the new divisor 260 and the new remainder 170, and apply the division lemma to get
260 = 170 x 1 + 90
We consider the new divisor 170 and the new remainder 90,and apply the division lemma to get
170 = 90 x 1 + 80
We consider the new divisor 90 and the new remainder 80,and apply the division lemma to get
90 = 80 x 1 + 10
We consider the new divisor 80 and the new remainder 10,and apply the division lemma to get
80 = 10 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 690 and 950 is 10
Notice that 10 = HCF(80,10) = HCF(90,80) = HCF(170,90) = HCF(260,170) = HCF(690,260) = HCF(950,690) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 502 > 10, we apply the division lemma to 502 and 10, to get
502 = 10 x 50 + 2
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 2 and 10, to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 10 and 502 is 2
Notice that 2 = HCF(10,2) = HCF(502,10) .
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Frequently Asked Questions on HCF of 690, 950, 502 using Euclid's Algorithm
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 690, 950, 502?
Answer: HCF of 690, 950, 502 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 690, 950, 502 using Euclid's Algorithm?
Answer: For arbitrary numbers 690, 950, 502 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.