Highest Common Factor of 2876, 7456 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 2876, 7456 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2876, 7456 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 2876, 7456 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 2876, 7456 is 4.
HCF(2876, 7456) = 4
HCF of 2876, 7456 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2876, 7456 is 4.
Highest Common Factor of 2876,7456 is 4
Step 1: Since 7456 > 2876, we apply the division lemma to 7456 and 2876, to get
7456 = 2876 x 2 + 1704
Step 2: Since the reminder 2876 ≠ 0, we apply division lemma to 1704 and 2876, to get
2876 = 1704 x 1 + 1172
Step 3: We consider the new divisor 1704 and the new remainder 1172, and apply the division lemma to get
1704 = 1172 x 1 + 532
We consider the new divisor 1172 and the new remainder 532,and apply the division lemma to get
1172 = 532 x 2 + 108
We consider the new divisor 532 and the new remainder 108,and apply the division lemma to get
532 = 108 x 4 + 100
We consider the new divisor 108 and the new remainder 100,and apply the division lemma to get
108 = 100 x 1 + 8
We consider the new divisor 100 and the new remainder 8,and apply the division lemma to get
100 = 8 x 12 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2876 and 7456 is 4
Notice that 4 = HCF(8,4) = HCF(100,8) = HCF(108,100) = HCF(532,108) = HCF(1172,532) = HCF(1704,1172) = HCF(2876,1704) = HCF(7456,2876) .
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Frequently Asked Questions on HCF of 2876, 7456 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 2876, 7456?
Answer: HCF of 2876, 7456 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2876, 7456 using Euclid's Algorithm?
Answer: For arbitrary numbers 2876, 7456 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.