Highest Common Factor of 6736, 7940 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 6736, 7940 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6736, 7940 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 6736, 7940 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 6736, 7940 is 4.
HCF(6736, 7940) = 4
HCF of 6736, 7940 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6736, 7940 is 4.
Highest Common Factor of 6736,7940 is 4
Step 1: Since 7940 > 6736, we apply the division lemma to 7940 and 6736, to get
7940 = 6736 x 1 + 1204
Step 2: Since the reminder 6736 ≠ 0, we apply division lemma to 1204 and 6736, to get
6736 = 1204 x 5 + 716
Step 3: We consider the new divisor 1204 and the new remainder 716, and apply the division lemma to get
1204 = 716 x 1 + 488
We consider the new divisor 716 and the new remainder 488,and apply the division lemma to get
716 = 488 x 1 + 228
We consider the new divisor 488 and the new remainder 228,and apply the division lemma to get
488 = 228 x 2 + 32
We consider the new divisor 228 and the new remainder 32,and apply the division lemma to get
228 = 32 x 7 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6736 and 7940 is 4
Notice that 4 = HCF(32,4) = HCF(228,32) = HCF(488,228) = HCF(716,488) = HCF(1204,716) = HCF(6736,1204) = HCF(7940,6736) .
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Frequently Asked Questions on HCF of 6736, 7940 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 6736, 7940?
Answer: HCF of 6736, 7940 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6736, 7940 using Euclid's Algorithm?
Answer: For arbitrary numbers 6736, 7940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
