Highest Common Factor of 748, 956 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 748, 956 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 748, 956 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 748, 956 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 748, 956 is 4.
HCF(748, 956) = 4
HCF of 748, 956 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 748, 956 is 4.
Highest Common Factor of 748,956 is 4
Step 1: Since 956 > 748, we apply the division lemma to 956 and 748, to get
956 = 748 x 1 + 208
Step 2: Since the reminder 748 ≠ 0, we apply division lemma to 208 and 748, to get
748 = 208 x 3 + 124
Step 3: We consider the new divisor 208 and the new remainder 124, and apply the division lemma to get
208 = 124 x 1 + 84
We consider the new divisor 124 and the new remainder 84,and apply the division lemma to get
124 = 84 x 1 + 40
We consider the new divisor 84 and the new remainder 40,and apply the division lemma to get
84 = 40 x 2 + 4
We consider the new divisor 40 and the new remainder 4,and apply the division lemma to get
40 = 4 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 748 and 956 is 4
Notice that 4 = HCF(40,4) = HCF(84,40) = HCF(124,84) = HCF(208,124) = HCF(748,208) = HCF(956,748) .
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Frequently Asked Questions on HCF of 748, 956 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 748, 956?
Answer: HCF of 748, 956 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 748, 956 using Euclid's Algorithm?
Answer: For arbitrary numbers 748, 956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.