Highest Common Factor of 850, 54154 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 850, 54154 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 850, 54154 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 850, 54154 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 850, 54154 is 2.
HCF(850, 54154) = 2
HCF of 850, 54154 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 850, 54154 is 2.
Highest Common Factor of 850,54154 is 2
Step 1: Since 54154 > 850, we apply the division lemma to 54154 and 850, to get
54154 = 850 x 63 + 604
Step 2: Since the reminder 850 ≠ 0, we apply division lemma to 604 and 850, to get
850 = 604 x 1 + 246
Step 3: We consider the new divisor 604 and the new remainder 246, and apply the division lemma to get
604 = 246 x 2 + 112
We consider the new divisor 246 and the new remainder 112,and apply the division lemma to get
246 = 112 x 2 + 22
We consider the new divisor 112 and the new remainder 22,and apply the division lemma to get
112 = 22 x 5 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 850 and 54154 is 2
Notice that 2 = HCF(22,2) = HCF(112,22) = HCF(246,112) = HCF(604,246) = HCF(850,604) = HCF(54154,850) .
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Frequently Asked Questions on HCF of 850, 54154 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 850, 54154?
Answer: HCF of 850, 54154 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 850, 54154 using Euclid's Algorithm?
Answer: For arbitrary numbers 850, 54154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.