Highest Common Factor of 892, 50176 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 892, 50176 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 892, 50176 is 4 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 892, 50176 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 892, 50176 is 4.
HCF(892, 50176) = 4
HCF of 892, 50176 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 892, 50176 is 4.
Highest Common Factor of 892,50176 is 4
Step 1: Since 50176 > 892, we apply the division lemma to 50176 and 892, to get
50176 = 892 x 56 + 224
Step 2: Since the reminder 892 ≠ 0, we apply division lemma to 224 and 892, to get
892 = 224 x 3 + 220
Step 3: We consider the new divisor 224 and the new remainder 220, and apply the division lemma to get
224 = 220 x 1 + 4
We consider the new divisor 220 and the new remainder 4, and apply the division lemma to get
220 = 4 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 892 and 50176 is 4
Notice that 4 = HCF(220,4) = HCF(224,220) = HCF(892,224) = HCF(50176,892) .
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Frequently Asked Questions on HCF of 892, 50176 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 892, 50176?
Answer: HCF of 892, 50176 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 892, 50176 using Euclid's Algorithm?
Answer: For arbitrary numbers 892, 50176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.