Highest Common Factor of 510, 896, 942 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 510, 896, 942 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 510, 896, 942 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 510, 896, 942 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 510, 896, 942 is 2.
HCF(510, 896, 942) = 2
HCF of 510, 896, 942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 510, 896, 942 is 2.
Highest Common Factor of 510,896,942 is 2
Step 1: Since 896 > 510, we apply the division lemma to 896 and 510, to get
896 = 510 x 1 + 386
Step 2: Since the reminder 510 ≠ 0, we apply division lemma to 386 and 510, to get
510 = 386 x 1 + 124
Step 3: We consider the new divisor 386 and the new remainder 124, and apply the division lemma to get
386 = 124 x 3 + 14
We consider the new divisor 124 and the new remainder 14,and apply the division lemma to get
124 = 14 x 8 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 510 and 896 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(124,14) = HCF(386,124) = HCF(510,386) = HCF(896,510) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 942 > 2, we apply the division lemma to 942 and 2, to get
942 = 2 x 471 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 942 is 2
Notice that 2 = HCF(942,2) .
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Frequently Asked Questions on HCF of 510, 896, 942 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 510, 896, 942?
Answer: HCF of 510, 896, 942 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 510, 896, 942 using Euclid's Algorithm?
Answer: For arbitrary numbers 510, 896, 942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.