Highest Common Factor of 5056, 7920 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 5056, 7920 i.e. 16 the largest integer that leaves a remainder zero for all numbers.
HCF of 5056, 7920 is 16 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 5056, 7920 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 5056, 7920 is 16.
HCF(5056, 7920) = 16
HCF of 5056, 7920 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5056, 7920 is 16.
Highest Common Factor of 5056,7920 is 16
Step 1: Since 7920 > 5056, we apply the division lemma to 7920 and 5056, to get
7920 = 5056 x 1 + 2864
Step 2: Since the reminder 5056 ≠ 0, we apply division lemma to 2864 and 5056, to get
5056 = 2864 x 1 + 2192
Step 3: We consider the new divisor 2864 and the new remainder 2192, and apply the division lemma to get
2864 = 2192 x 1 + 672
We consider the new divisor 2192 and the new remainder 672,and apply the division lemma to get
2192 = 672 x 3 + 176
We consider the new divisor 672 and the new remainder 176,and apply the division lemma to get
672 = 176 x 3 + 144
We consider the new divisor 176 and the new remainder 144,and apply the division lemma to get
176 = 144 x 1 + 32
We consider the new divisor 144 and the new remainder 32,and apply the division lemma to get
144 = 32 x 4 + 16
We consider the new divisor 32 and the new remainder 16,and apply the division lemma to get
32 = 16 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 5056 and 7920 is 16
Notice that 16 = HCF(32,16) = HCF(144,32) = HCF(176,144) = HCF(672,176) = HCF(2192,672) = HCF(2864,2192) = HCF(5056,2864) = HCF(7920,5056) .
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Frequently Asked Questions on HCF of 5056, 7920 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 5056, 7920?
Answer: HCF of 5056, 7920 is 16 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5056, 7920 using Euclid's Algorithm?
Answer: For arbitrary numbers 5056, 7920 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
